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Finding the Fourth Proportional to 475,490.75, 713,167.14 and 155,655.29

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Solution

The fourth proportional to 475,490.75, 713,167.14 and 155,655.29 is: 233,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,490.75 : 713,167.14 = 155,655.29 : x
  2. Step 2: Convert to fraction form
    475,490.75/713,167.14 = 155,655.29/x
  3. Step 3: Cross multiply
    475,490.75x = 713,167.14 × 155,655.29
  4. Step 4: Simplify right side
    475,490.75x = 111,008,236,575.83
  5. Step 5: Solve for x
    x = 111,008,236,575.83/475,490.75
  6. Step 6: Final answer
    x = 233,460.35

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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.