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Finding the Fourth Proportional to 283,641.90, 391,422.35 and 156,314.76

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Solution

The fourth proportional to 283,641.90, 391,422.35 and 156,314.76 is: 215,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,641.90 : 391,422.35 = 156,314.76 : x
  2. Step 2: Convert to fraction form
    283,641.90/391,422.35 = 156,314.76/x
  3. Step 3: Cross multiply
    283,641.90x = 391,422.35 × 156,314.76
  4. Step 4: Simplify right side
    283,641.90x = 61,185,089,917.31
  5. Step 5: Solve for x
    x = 61,185,089,917.31/283,641.90
  6. Step 6: Final answer
    x = 215,712.45

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.