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Finding the Fourth Proportional to 488,495.20, 732,915.60 and 471,215.20

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Solution

The fourth proportional to 488,495.20, 732,915.60 and 471,215.20 is: 706,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,495.20 : 732,915.60 = 471,215.20 : x
  2. Step 2: Convert to fraction form
    488,495.20/732,915.60 = 471,215.20/x
  3. Step 3: Cross multiply
    488,495.20x = 732,915.60 × 471,215.20
  4. Step 4: Simplify right side
    488,495.20x = 345,360,971,037.12
  5. Step 5: Solve for x
    x = 345,360,971,037.12/488,495.20
  6. Step 6: Final answer
    x = 706,989.49

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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.