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Finding the Fourth Proportional to 398,420.14, 597,304.56 and 185,320.91

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Solution

The fourth proportional to 398,420.14, 597,304.56 and 185,320.91 is: 277,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,420.14 : 597,304.56 = 185,320.91 : x
  2. Step 2: Convert to fraction form
    398,420.14/597,304.56 = 185,320.91/x
  3. Step 3: Cross multiply
    398,420.14x = 597,304.56 × 185,320.91
  4. Step 4: Simplify right side
    398,420.14x = 110,693,025,230.92
  5. Step 5: Solve for x
    x = 110,693,025,230.92/398,420.14
  6. Step 6: Final answer
    x = 277,829.89

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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.