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Finding the Fourth Proportional to 398,200.62, 597,293.64 and 98,681.88

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Solution

The fourth proportional to 398,200.62, 597,293.64 and 98,681.88 is: 148,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,200.62 : 597,293.64 = 98,681.88 : x
  2. Step 2: Convert to fraction form
    398,200.62/597,293.64 = 98,681.88/x
  3. Step 3: Cross multiply
    398,200.62x = 597,293.64 × 98,681.88
  4. Step 4: Simplify right side
    398,200.62x = 58,942,059,307.24
  5. Step 5: Solve for x
    x = 58,942,059,307.24/398,200.62
  6. Step 6: Final answer
    x = 148,021.01

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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.