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Finding the Fourth Proportional to 652,161.30, 978,193.35 and 272,984.10

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Solution

The fourth proportional to 652,161.30, 978,193.35 and 272,984.10 is: 409,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,161.30 : 978,193.35 = 272,984.10 : x
  2. Step 2: Convert to fraction form
    652,161.30/978,193.35 = 272,984.10/x
  3. Step 3: Cross multiply
    652,161.30x = 978,193.35 × 272,984.10
  4. Step 4: Simplify right side
    652,161.30x = 267,031,231,275.74
  5. Step 5: Solve for x
    x = 267,031,231,275.74/652,161.30
  6. Step 6: Final answer
    x = 409,455.81

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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.