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Finding the Fourth Proportional to 473,498.71, 710,247.99 and 173,849.64

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Solution

The fourth proportional to 473,498.71, 710,247.99 and 173,849.64 is: 260,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,498.71 : 710,247.99 = 173,849.64 : x
  2. Step 2: Convert to fraction form
    473,498.71/710,247.99 = 173,849.64/x
  3. Step 3: Cross multiply
    473,498.71x = 710,247.99 × 173,849.64
  4. Step 4: Simplify right side
    473,498.71x = 123,476,359,355.88
  5. Step 5: Solve for x
    x = 123,476,359,355.88/473,498.71
  6. Step 6: Final answer
    x = 260,774.43

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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.