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Finding the Fourth Proportional to 461,041.38, 691,633.71 and 194,803.20

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Solution

The fourth proportional to 461,041.38, 691,633.71 and 194,803.20 is: 292,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,041.38 : 691,633.71 = 194,803.20 : x
  2. Step 2: Convert to fraction form
    461,041.38/691,633.71 = 194,803.20/x
  3. Step 3: Cross multiply
    461,041.38x = 691,633.71 × 194,803.20
  4. Step 4: Simplify right side
    461,041.38x = 134,732,459,935.87
  5. Step 5: Solve for x
    x = 134,732,459,935.87/461,041.38
  6. Step 6: Final answer
    x = 292,235.07

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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.