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Finding the Fourth Proportional to 542,207.65, 814,324.49 and 477,315.06

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Solution

The fourth proportional to 542,207.65, 814,324.49 and 477,315.06 is: 716,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,207.65 : 814,324.49 = 477,315.06 : x
  2. Step 2: Convert to fraction form
    542,207.65/814,324.49 = 477,315.06/x
  3. Step 3: Cross multiply
    542,207.65x = 814,324.49 × 477,315.06
  4. Step 4: Simplify right side
    542,207.65x = 388,689,339,062.19
  5. Step 5: Solve for x
    x = 388,689,339,062.19/542,207.65
  6. Step 6: Final answer
    x = 716,864.36

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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.