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Finding the Fourth Proportional to 457,751.60, 686,627.40 and 417,201.20

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Solution

The fourth proportional to 457,751.60, 686,627.40 and 417,201.20 is: 625,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,751.60 : 686,627.40 = 417,201.20 : x
  2. Step 2: Convert to fraction form
    457,751.60/686,627.40 = 417,201.20/x
  3. Step 3: Cross multiply
    457,751.60x = 686,627.40 × 417,201.20
  4. Step 4: Simplify right side
    457,751.60x = 286,461,775,232.88
  5. Step 5: Solve for x
    x = 286,461,775,232.88/457,751.60
  6. Step 6: Final answer
    x = 625,801.80

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Similar ratio
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1.5x scale

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.