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Finding the Fourth Proportional to 398,013, 597,040.01 and 113,681.13

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Solution

The fourth proportional to 398,013, 597,040.01 and 113,681.13 is: 170,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,013 : 597,040.01 = 113,681.13 : x
  2. Step 2: Convert to fraction form
    398,013/597,040.01 = 113,681.13/x
  3. Step 3: Cross multiply
    398,013x = 597,040.01 × 113,681.13
  4. Step 4: Simplify right side
    398,013x = 67,872,182,423.61
  5. Step 5: Solve for x
    x = 67,872,182,423.61/398,013
  6. Step 6: Final answer
    x = 170,527.55

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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.