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Finding the Fourth Proportional to 514,732.36, 710,329.62 and 288,373

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Solution

The fourth proportional to 514,732.36, 710,329.62 and 288,373 is: 397,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,732.36 : 710,329.62 = 288,373 : x
  2. Step 2: Convert to fraction form
    514,732.36/710,329.62 = 288,373/x
  3. Step 3: Cross multiply
    514,732.36x = 710,329.62 × 288,373
  4. Step 4: Simplify right side
    514,732.36x = 204,839,883,508.26
  5. Step 5: Solve for x
    x = 204,839,883,508.26/514,732.36
  6. Step 6: Final answer
    x = 397,954.16

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Why These Related Problems?

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