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Finding the Fourth Proportional to 431,368.30, 647,123.73 and 194,705.74

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Solution

The fourth proportional to 431,368.30, 647,123.73 and 194,705.74 is: 292,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,368.30 : 647,123.73 = 194,705.74 : x
  2. Step 2: Convert to fraction form
    431,368.30/647,123.73 = 194,705.74/x
  3. Step 3: Cross multiply
    431,368.30x = 647,123.73 × 194,705.74
  4. Step 4: Simplify right side
    431,368.30x = 125,998,704,721.21
  5. Step 5: Solve for x
    x = 125,998,704,721.21/431,368.30
  6. Step 6: Final answer
    x = 292,090.78

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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.