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Finding the Fourth Proportional to 546,455.80, 819,683.70 and 542,956.60

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Solution

The fourth proportional to 546,455.80, 819,683.70 and 542,956.60 is: 814,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,455.80 : 819,683.70 = 542,956.60 : x
  2. Step 2: Convert to fraction form
    546,455.80/819,683.70 = 542,956.60/x
  3. Step 3: Cross multiply
    546,455.80x = 819,683.70 × 542,956.60
  4. Step 4: Simplify right side
    546,455.80x = 445,052,674,827.42
  5. Step 5: Solve for x
    x = 445,052,674,827.42/546,455.80
  6. Step 6: Final answer
    x = 814,434.90

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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.