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Finding the Fourth Proportional to 283,705.59, 391,501.93 and 154,641.22

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Solution

The fourth proportional to 283,705.59, 391,501.93 and 154,641.22 is: 213,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,705.59 : 391,501.93 = 154,641.22 : x
  2. Step 2: Convert to fraction form
    283,705.59/391,501.93 = 154,641.22/x
  3. Step 3: Cross multiply
    283,705.59x = 391,501.93 × 154,641.22
  4. Step 4: Simplify right side
    283,705.59x = 60,542,334,722.20
  5. Step 5: Solve for x
    x = 60,542,334,722.20/283,705.59
  6. Step 6: Final answer
    x = 213,398.46

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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.