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Finding the Fourth Proportional to 546,691.68, 820,343.70 and 231,384.60

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Solution

The fourth proportional to 546,691.68, 820,343.70 and 231,384.60 is: 347,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,691.68 : 820,343.70 = 231,384.60 : x
  2. Step 2: Convert to fraction form
    546,691.68/820,343.70 = 231,384.60/x
  3. Step 3: Cross multiply
    546,691.68x = 820,343.70 × 231,384.60
  4. Step 4: Simplify right side
    546,691.68x = 189,814,898,887.02
  5. Step 5: Solve for x
    x = 189,814,898,887.02/546,691.68
  6. Step 6: Final answer
    x = 347,206.49

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1.5x scale

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.