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Finding the Fourth Proportional to 514,362.38, 709,656.05 and 333,213.17

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Solution

The fourth proportional to 514,362.38, 709,656.05 and 333,213.17 is: 459,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,362.38 : 709,656.05 = 333,213.17 : x
  2. Step 2: Convert to fraction form
    514,362.38/709,656.05 = 333,213.17/x
  3. Step 3: Cross multiply
    514,362.38x = 709,656.05 × 333,213.17
  4. Step 4: Simplify right side
    514,362.38x = 236,466,736,815.83
  5. Step 5: Solve for x
    x = 236,466,736,815.83/514,362.38
  6. Step 6: Final answer
    x = 459,727.90

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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.