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Finding the Fourth Proportional to 398,648.80, 597,973.20 and 272,677.60

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Solution

The fourth proportional to 398,648.80, 597,973.20 and 272,677.60 is: 409,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,648.80 : 597,973.20 = 272,677.60 : x
  2. Step 2: Convert to fraction form
    398,648.80/597,973.20 = 272,677.60/x
  3. Step 3: Cross multiply
    398,648.80x = 597,973.20 × 272,677.60
  4. Step 4: Simplify right side
    398,648.80x = 163,053,897,040.32
  5. Step 5: Solve for x
    x = 163,053,897,040.32/398,648.80
  6. Step 6: Final answer
    x = 409,016.40

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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.