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Finding the Fourth Proportional to 376,070.31, 564,123.69 and 123,328.44

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Solution

The fourth proportional to 376,070.31, 564,123.69 and 123,328.44 is: 184,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,070.31 : 564,123.69 = 123,328.44 : x
  2. Step 2: Convert to fraction form
    376,070.31/564,123.69 = 123,328.44/x
  3. Step 3: Cross multiply
    376,070.31x = 564,123.69 × 123,328.44
  4. Step 4: Simplify right side
    376,070.31x = 69,572,494,654.74
  5. Step 5: Solve for x
    x = 69,572,494,654.74/376,070.31
  6. Step 6: Final answer
    x = 184,998.64

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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.