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Finding the Fourth Proportional to 337,454.46, 465,502.95 and 216,461.16

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Solution

The fourth proportional to 337,454.46, 465,502.95 and 216,461.16 is: 298,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,454.46 : 465,502.95 = 216,461.16 : x
  2. Step 2: Convert to fraction form
    337,454.46/465,502.95 = 216,461.16/x
  3. Step 3: Cross multiply
    337,454.46x = 465,502.95 × 216,461.16
  4. Step 4: Simplify right side
    337,454.46x = 100,763,308,540.42
  5. Step 5: Solve for x
    x = 100,763,308,540.42/337,454.46
  6. Step 6: Final answer
    x = 298,598.24

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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.