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Finding the Fourth Proportional to 459,669.17, 689,614.19 and 144,126.11

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Solution

The fourth proportional to 459,669.17, 689,614.19 and 144,126.11 is: 216,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,669.17 : 689,614.19 = 144,126.11 : x
  2. Step 2: Convert to fraction form
    459,669.17/689,614.19 = 144,126.11/x
  3. Step 3: Cross multiply
    459,669.17x = 689,614.19 × 144,126.11
  4. Step 4: Simplify right side
    459,669.17x = 99,391,410,605.50
  5. Step 5: Solve for x
    x = 99,391,410,605.50/459,669.17
  6. Step 6: Final answer
    x = 216,223.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.