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Finding the Fourth Proportional to 470,952.83, 649,895.13 and 267,017.48

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Solution

The fourth proportional to 470,952.83, 649,895.13 and 267,017.48 is: 368,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,952.83 : 649,895.13 = 267,017.48 : x
  2. Step 2: Convert to fraction form
    470,952.83/649,895.13 = 267,017.48/x
  3. Step 3: Cross multiply
    470,952.83x = 649,895.13 × 267,017.48
  4. Step 4: Simplify right side
    470,952.83x = 173,533,359,064.50
  5. Step 5: Solve for x
    x = 173,533,359,064.50/470,952.83
  6. Step 6: Final answer
    x = 368,472.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.