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Finding the Fourth Proportional to 449,681.10, 674,854.35 and 213,024.30

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Solution

The fourth proportional to 449,681.10, 674,854.35 and 213,024.30 is: 319,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,681.10 : 674,854.35 = 213,024.30 : x
  2. Step 2: Convert to fraction form
    449,681.10/674,854.35 = 213,024.30/x
  3. Step 3: Cross multiply
    449,681.10x = 674,854.35 × 213,024.30
  4. Step 4: Simplify right side
    449,681.10x = 143,760,375,510.71
  5. Step 5: Solve for x
    x = 143,760,375,510.71/449,681.10
  6. Step 6: Final answer
    x = 319,694.06

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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.