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Finding the Fourth Proportional to 514,083.84, 708,168.09 and 437,357.17

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Solution

The fourth proportional to 514,083.84, 708,168.09 and 437,357.17 is: 602,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,083.84 : 708,168.09 = 437,357.17 : x
  2. Step 2: Convert to fraction form
    514,083.84/708,168.09 = 437,357.17/x
  3. Step 3: Cross multiply
    514,083.84x = 708,168.09 × 437,357.17
  4. Step 4: Simplify right side
    514,083.84x = 309,722,391,726.71
  5. Step 5: Solve for x
    x = 309,722,391,726.71/514,083.84
  6. Step 6: Final answer
    x = 602,474.48

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1.5x scale

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.