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Finding the Fourth Proportional to 488,505.88, 732,773.19 and 416,977.51

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Solution

The fourth proportional to 488,505.88, 732,773.19 and 416,977.51 is: 625,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,505.88 : 732,773.19 = 416,977.51 : x
  2. Step 2: Convert to fraction form
    488,505.88/732,773.19 = 416,977.51/x
  3. Step 3: Cross multiply
    488,505.88x = 732,773.19 × 416,977.51
  4. Step 4: Simplify right side
    488,505.88x = 305,549,940,160.96
  5. Step 5: Solve for x
    x = 305,549,940,160.96/488,505.88
  6. Step 6: Final answer
    x = 625,478.53

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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.