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Finding the Fourth Proportional to 506,472.16, 759,716.88 and 417,376.48

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Solution

The fourth proportional to 506,472.16, 759,716.88 and 417,376.48 is: 626,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,472.16 : 759,716.88 = 417,376.48 : x
  2. Step 2: Convert to fraction form
    506,472.16/759,716.88 = 417,376.48/x
  3. Step 3: Cross multiply
    506,472.16x = 759,716.88 × 417,376.48
  4. Step 4: Simplify right side
    506,472.16x = 317,087,957,170.98
  5. Step 5: Solve for x
    x = 317,087,957,170.98/506,472.16
  6. Step 6: Final answer
    x = 626,071.84

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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.