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Finding the Fourth Proportional to 469,882.17, 705,409.20 and 467,723.25

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Solution

The fourth proportional to 469,882.17, 705,409.20 and 467,723.25 is: 702,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,882.17 : 705,409.20 = 467,723.25 : x
  2. Step 2: Convert to fraction form
    469,882.17/705,409.20 = 467,723.25/x
  3. Step 3: Cross multiply
    469,882.17x = 705,409.20 × 467,723.25
  4. Step 4: Simplify right side
    469,882.17x = 329,936,283,603.90
  5. Step 5: Solve for x
    x = 329,936,283,603.90/469,882.17
  6. Step 6: Final answer
    x = 702,168.13

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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.