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Finding the Fourth Proportional to 473,402.08, 709,858.32 and 173,805.76

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Solution

The fourth proportional to 473,402.08, 709,858.32 and 173,805.76 is: 260,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,402.08 : 709,858.32 = 173,805.76 : x
  2. Step 2: Convert to fraction form
    473,402.08/709,858.32 = 173,805.76/x
  3. Step 3: Cross multiply
    473,402.08x = 709,858.32 × 173,805.76
  4. Step 4: Simplify right side
    473,402.08x = 123,377,464,799.92
  5. Step 5: Solve for x
    x = 123,377,464,799.92/473,402.08
  6. Step 6: Final answer
    x = 260,618.76

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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.