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Finding the Fourth Proportional to 566,894.56, 782,314.42 and 312,245.74

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Solution

The fourth proportional to 566,894.56, 782,314.42 and 312,245.74 is: 430,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,894.56 : 782,314.42 = 312,245.74 : x
  2. Step 2: Convert to fraction form
    566,894.56/782,314.42 = 312,245.74/x
  3. Step 3: Cross multiply
    566,894.56x = 782,314.42 × 312,245.74
  4. Step 4: Simplify right side
    566,894.56x = 244,274,344,985.57
  5. Step 5: Solve for x
    x = 244,274,344,985.57/566,894.56
  6. Step 6: Final answer
    x = 430,899.08

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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.