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Finding the Fourth Proportional to 473,908.87, 710,907.86 and 174,395.17

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Solution

The fourth proportional to 473,908.87, 710,907.86 and 174,395.17 is: 261,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,908.87 : 710,907.86 = 174,395.17 : x
  2. Step 2: Convert to fraction form
    473,908.87/710,907.86 = 174,395.17/x
  3. Step 3: Cross multiply
    473,908.87x = 710,907.86 × 174,395.17
  4. Step 4: Simplify right side
    473,908.87x = 123,978,897,099.04
  5. Step 5: Solve for x
    x = 123,978,897,099.04/473,908.87
  6. Step 6: Final answer
    x = 261,609.15

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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.