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Finding the Fourth Proportional to 453,085.40, 679,455.30 and 137,437.40

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Solution

The fourth proportional to 453,085.40, 679,455.30 and 137,437.40 is: 206,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,085.40 : 679,455.30 = 137,437.40 : x
  2. Step 2: Convert to fraction form
    453,085.40/679,455.30 = 137,437.40/x
  3. Step 3: Cross multiply
    453,085.40x = 679,455.30 × 137,437.40
  4. Step 4: Simplify right side
    453,085.40x = 93,382,569,848.22
  5. Step 5: Solve for x
    x = 93,382,569,848.22/453,085.40
  6. Step 6: Final answer
    x = 206,103.68

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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.