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Finding the Fourth Proportional to 458,414.40, 687,621.60 and 417,080.10

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Solution

The fourth proportional to 458,414.40, 687,621.60 and 417,080.10 is: 625,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,414.40 : 687,621.60 = 417,080.10 : x
  2. Step 2: Convert to fraction form
    458,414.40/687,621.60 = 417,080.10/x
  3. Step 3: Cross multiply
    458,414.40x = 687,621.60 × 417,080.10
  4. Step 4: Simplify right side
    458,414.40x = 286,793,285,690.16
  5. Step 5: Solve for x
    x = 286,793,285,690.16/458,414.40
  6. Step 6: Final answer
    x = 625,620.15

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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.