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Finding the Fourth Proportional to 473,631.12, 710,726.88 and 174,321.92

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Solution

The fourth proportional to 473,631.12, 710,726.88 and 174,321.92 is: 261,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,631.12 : 710,726.88 = 174,321.92 : x
  2. Step 2: Convert to fraction form
    473,631.12/710,726.88 = 174,321.92/x
  3. Step 3: Cross multiply
    473,631.12x = 710,726.88 × 174,321.92
  4. Step 4: Simplify right side
    473,631.12x = 123,895,274,317.21
  5. Step 5: Solve for x
    x = 123,895,274,317.21/473,631.12
  6. Step 6: Final answer
    x = 261,586.01

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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.