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Finding the Fourth Proportional to 473,036.82, 709,648.70 and 173,520.18

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Solution

The fourth proportional to 473,036.82, 709,648.70 and 173,520.18 is: 260,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,036.82 : 709,648.70 = 173,520.18 : x
  2. Step 2: Convert to fraction form
    473,036.82/709,648.70 = 173,520.18/x
  3. Step 3: Cross multiply
    473,036.82x = 709,648.70 × 173,520.18
  4. Step 4: Simplify right side
    473,036.82x = 123,138,370,160.77
  5. Step 5: Solve for x
    x = 123,138,370,160.77/473,036.82
  6. Step 6: Final answer
    x = 260,314.56

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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.