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Finding the Fourth Proportional to 514,731.36, 710,328.24 and 288,372

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Solution

The fourth proportional to 514,731.36, 710,328.24 and 288,372 is: 397,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,731.36 : 710,328.24 = 288,372 : x
  2. Step 2: Convert to fraction form
    514,731.36/710,328.24 = 288,372/x
  3. Step 3: Cross multiply
    514,731.36x = 710,328.24 × 288,372
  4. Step 4: Simplify right side
    514,731.36x = 204,838,775,225.28
  5. Step 5: Solve for x
    x = 204,838,775,225.28/514,731.36
  6. Step 6: Final answer
    x = 397,952.78

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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.