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Finding the Fourth Proportional to 488,294.56, 731,706.28 and 435,081.84

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Solution

The fourth proportional to 488,294.56, 731,706.28 and 435,081.84 is: 651,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,294.56 : 731,706.28 = 435,081.84 : x
  2. Step 2: Convert to fraction form
    488,294.56/731,706.28 = 435,081.84/x
  3. Step 3: Cross multiply
    488,294.56x = 731,706.28 × 435,081.84
  4. Step 4: Simplify right side
    488,294.56x = 318,352,114,641.96
  5. Step 5: Solve for x
    x = 318,352,114,641.96/488,294.56
  6. Step 6: Final answer
    x = 651,967.36

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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.