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Finding the Fourth Proportional to 473,592.29, 710,365.28 and 174,049.83

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Solution

The fourth proportional to 473,592.29, 710,365.28 and 174,049.83 is: 261,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,592.29 : 710,365.28 = 174,049.83 : x
  2. Step 2: Convert to fraction form
    473,592.29/710,365.28 = 174,049.83/x
  3. Step 3: Cross multiply
    473,592.29x = 710,365.28 × 174,049.83
  4. Step 4: Simplify right side
    473,592.29x = 123,638,955,351.65
  5. Step 5: Solve for x
    x = 123,638,955,351.65/473,592.29
  6. Step 6: Final answer
    x = 261,066.24

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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.