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Finding the Fourth Proportional to 469,502.20, 704,253.30 and 137,078.20

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Solution

The fourth proportional to 469,502.20, 704,253.30 and 137,078.20 is: 205,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,502.20 : 704,253.30 = 137,078.20 : x
  2. Step 2: Convert to fraction form
    469,502.20/704,253.30 = 137,078.20/x
  3. Step 3: Cross multiply
    469,502.20x = 704,253.30 × 137,078.20
  4. Step 4: Simplify right side
    469,502.20x = 96,537,774,708.06
  5. Step 5: Solve for x
    x = 96,537,774,708.06/469,502.20
  6. Step 6: Final answer
    x = 205,617.30

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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.