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Finding the Fourth Proportional to 514,123.20, 709,482.24 and 287,776.80

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Solution

The fourth proportional to 514,123.20, 709,482.24 and 287,776.80 is: 397,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,123.20 : 709,482.24 = 287,776.80 : x
  2. Step 2: Convert to fraction form
    514,123.20/709,482.24 = 287,776.80/x
  3. Step 3: Cross multiply
    514,123.20x = 709,482.24 × 287,776.80
  4. Step 4: Simplify right side
    514,123.20x = 204,172,528,684.03
  5. Step 5: Solve for x
    x = 204,172,528,684.03/514,123.20
  6. Step 6: Final answer
    x = 397,127.63

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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.