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Finding the Fourth Proportional to 520,505.20, 780,757.80 and 402,261.40

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Solution

The fourth proportional to 520,505.20, 780,757.80 and 402,261.40 is: 603,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,505.20 : 780,757.80 = 402,261.40 : x
  2. Step 2: Convert to fraction form
    520,505.20/780,757.80 = 402,261.40/x
  3. Step 3: Cross multiply
    520,505.20x = 780,757.80 × 402,261.40
  4. Step 4: Simplify right side
    520,505.20x = 314,068,725,688.92
  5. Step 5: Solve for x
    x = 314,068,725,688.92/520,505.20
  6. Step 6: Final answer
    x = 603,392.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.