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Finding the Fourth Proportional to 546,335.30, 819,502.95 and 542,836.10

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Solution

The fourth proportional to 546,335.30, 819,502.95 and 542,836.10 is: 814,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,335.30 : 819,502.95 = 542,836.10 : x
  2. Step 2: Convert to fraction form
    546,335.30/819,502.95 = 542,836.10/x
  3. Step 3: Cross multiply
    546,335.30x = 819,502.95 × 542,836.10
  4. Step 4: Simplify right side
    546,335.30x = 444,855,785,316.50
  5. Step 5: Solve for x
    x = 444,855,785,316.50/546,335.30
  6. Step 6: Final answer
    x = 814,254.15

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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.