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Finding the Fourth Proportional to 564,184.87, 778,575.12 and 322,472.64

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Solution

The fourth proportional to 564,184.87, 778,575.12 and 322,472.64 is: 445,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,184.87 : 778,575.12 = 322,472.64 : x
  2. Step 2: Convert to fraction form
    564,184.87/778,575.12 = 322,472.64/x
  3. Step 3: Cross multiply
    564,184.87x = 778,575.12 × 322,472.64
  4. Step 4: Simplify right side
    564,184.87x = 251,069,174,384.72
  5. Step 5: Solve for x
    x = 251,069,174,384.72/564,184.87
  6. Step 6: Final answer
    x = 445,012.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.