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Finding the Fourth Proportional to 473,116.20, 709,868.70 and 173,740.20

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Solution

The fourth proportional to 473,116.20, 709,868.70 and 173,740.20 is: 260,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,116.20 : 709,868.70 = 173,740.20 : x
  2. Step 2: Convert to fraction form
    473,116.20/709,868.70 = 173,740.20/x
  3. Step 3: Cross multiply
    473,116.20x = 709,868.70 × 173,740.20
  4. Step 4: Simplify right side
    473,116.20x = 123,332,729,911.74
  5. Step 5: Solve for x
    x = 123,332,729,911.74/473,116.20
  6. Step 6: Final answer
    x = 260,681.69

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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.