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Finding the Fourth Proportional to 453,046.40, 679,396.80 and 137,398.40

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Solution

The fourth proportional to 453,046.40, 679,396.80 and 137,398.40 is: 206,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,046.40 : 679,396.80 = 137,398.40 : x
  2. Step 2: Convert to fraction form
    453,046.40/679,396.80 = 137,398.40/x
  3. Step 3: Cross multiply
    453,046.40x = 679,396.80 × 137,398.40
  4. Step 4: Simplify right side
    453,046.40x = 93,348,033,285.12
  5. Step 5: Solve for x
    x = 93,348,033,285.12/453,046.40
  6. Step 6: Final answer
    x = 206,045.19

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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.