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Finding the Fourth Proportional to 453,820.10, 680,730.15 and 294,387.80

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Solution

The fourth proportional to 453,820.10, 680,730.15 and 294,387.80 is: 441,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,820.10 : 680,730.15 = 294,387.80 : x
  2. Step 2: Convert to fraction form
    453,820.10/680,730.15 = 294,387.80/x
  3. Step 3: Cross multiply
    453,820.10x = 680,730.15 × 294,387.80
  4. Step 4: Simplify right side
    453,820.10x = 200,398,651,252.17
  5. Step 5: Solve for x
    x = 200,398,651,252.17/453,820.10
  6. Step 6: Final answer
    x = 441,581.70

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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.