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Finding the Fourth Proportional to 473,902.32, 710,853.47 and 189,720.80

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Solution

The fourth proportional to 473,902.32, 710,853.47 and 189,720.80 is: 284,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,902.32 : 710,853.47 = 189,720.80 : x
  2. Step 2: Convert to fraction form
    473,902.32/710,853.47 = 189,720.80/x
  3. Step 3: Cross multiply
    473,902.32x = 710,853.47 × 189,720.80
  4. Step 4: Simplify right side
    473,902.32x = 134,863,684,508.31
  5. Step 5: Solve for x
    x = 134,863,684,508.31/473,902.32
  6. Step 6: Final answer
    x = 284,581.19

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Similar ratio
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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.