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Finding the Fourth Proportional to 542,884.02, 814,235.30 and 168,877.86

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Solution

The fourth proportional to 542,884.02, 814,235.30 and 168,877.86 is: 253,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,884.02 : 814,235.30 = 168,877.86 : x
  2. Step 2: Convert to fraction form
    542,884.02/814,235.30 = 168,877.86/x
  3. Step 3: Cross multiply
    542,884.02x = 814,235.30 × 168,877.86
  4. Step 4: Simplify right side
    542,884.02x = 137,506,315,000.46
  5. Step 5: Solve for x
    x = 137,506,315,000.46/542,884.02
  6. Step 6: Final answer
    x = 253,288.57

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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.