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Finding the Fourth Proportional to 458,078.60, 687,117.90 and 407,340.20

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Solution

The fourth proportional to 458,078.60, 687,117.90 and 407,340.20 is: 611,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,078.60 : 687,117.90 = 407,340.20 : x
  2. Step 2: Convert to fraction form
    458,078.60/687,117.90 = 407,340.20/x
  3. Step 3: Cross multiply
    458,078.60x = 687,117.90 × 407,340.20
  4. Step 4: Simplify right side
    458,078.60x = 279,890,742,809.58
  5. Step 5: Solve for x
    x = 279,890,742,809.58/458,078.60
  6. Step 6: Final answer
    x = 611,010.30

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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.