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Finding the Fourth Proportional to 516,524.76, 712,755.20 and 478,438.16

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Solution

The fourth proportional to 516,524.76, 712,755.20 and 478,438.16 is: 660,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,524.76 : 712,755.20 = 478,438.16 : x
  2. Step 2: Convert to fraction form
    516,524.76/712,755.20 = 478,438.16/x
  3. Step 3: Cross multiply
    516,524.76x = 712,755.20 × 478,438.16
  4. Step 4: Simplify right side
    516,524.76x = 341,009,286,418.43
  5. Step 5: Solve for x
    x = 341,009,286,418.43/516,524.76
  6. Step 6: Final answer
    x = 660,199.30

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