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Finding the Fourth Proportional to 652,076.10, 978,114.15 and 272,931.30

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Solution

The fourth proportional to 652,076.10, 978,114.15 and 272,931.30 is: 409,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,076.10 : 978,114.15 = 272,931.30 : x
  2. Step 2: Convert to fraction form
    652,076.10/978,114.15 = 272,931.30/x
  3. Step 3: Cross multiply
    652,076.10x = 978,114.15 × 272,931.30
  4. Step 4: Simplify right side
    652,076.10x = 266,957,966,507.90
  5. Step 5: Solve for x
    x = 266,957,966,507.90/652,076.10
  6. Step 6: Final answer
    x = 409,396.95

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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.