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Finding the Fourth Proportional to 376,307.44, 564,165.24 and 257,619.04

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Solution

The fourth proportional to 376,307.44, 564,165.24 and 257,619.04 is: 386,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,307.44 : 564,165.24 = 257,619.04 : x
  2. Step 2: Convert to fraction form
    376,307.44/564,165.24 = 257,619.04/x
  3. Step 3: Cross multiply
    376,307.44x = 564,165.24 × 257,619.04
  4. Step 4: Simplify right side
    376,307.44x = 145,339,707,530.17
  5. Step 5: Solve for x
    x = 145,339,707,530.17/376,307.44
  6. Step 6: Final answer
    x = 386,225.97

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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.