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Finding the Fourth Proportional to 873,276.10, 1,205,035.23 and 491,294.68

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Solution

The fourth proportional to 873,276.10, 1,205,035.23 and 491,294.68 is: 677,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,276.10 : 1,205,035.23 = 491,294.68 : x
  2. Step 2: Convert to fraction form
    873,276.10/1,205,035.23 = 491,294.68/x
  3. Step 3: Cross multiply
    873,276.10x = 1,205,035.23 × 491,294.68
  4. Step 4: Simplify right side
    873,276.10x = 592,027,397,711.58
  5. Step 5: Solve for x
    x = 592,027,397,711.58/873,276.10
  6. Step 6: Final answer
    x = 677,938.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.