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Finding the Fourth Proportional to 398,565.60, 597,643.20 and 118,046.40

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Solution

The fourth proportional to 398,565.60, 597,643.20 and 118,046.40 is: 177,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,565.60 : 597,643.20 = 118,046.40 : x
  2. Step 2: Convert to fraction form
    398,565.60/597,643.20 = 118,046.40/x
  3. Step 3: Cross multiply
    398,565.60x = 597,643.20 × 118,046.40
  4. Step 4: Simplify right side
    398,565.60x = 70,549,628,244.48
  5. Step 5: Solve for x
    x = 70,549,628,244.48/398,565.60
  6. Step 6: Final answer
    x = 177,008.82

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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.