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Finding the Fourth Proportional to 473,817.56, 710,729.40 and 189,531.86

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Solution

The fourth proportional to 473,817.56, 710,729.40 and 189,531.86 is: 284,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,817.56 : 710,729.40 = 189,531.86 : x
  2. Step 2: Convert to fraction form
    473,817.56/710,729.40 = 189,531.86/x
  3. Step 3: Cross multiply
    473,817.56x = 710,729.40 × 189,531.86
  4. Step 4: Simplify right side
    473,817.56x = 134,705,865,138.68
  5. Step 5: Solve for x
    x = 134,705,865,138.68/473,817.56
  6. Step 6: Final answer
    x = 284,299.01

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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.