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Finding the Fourth Proportional to 564,185.87, 778,576.50 and 322,473.64

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Solution

The fourth proportional to 564,185.87, 778,576.50 and 322,473.64 is: 445,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,185.87 : 778,576.50 = 322,473.64 : x
  2. Step 2: Convert to fraction form
    564,185.87/778,576.50 = 322,473.64/x
  3. Step 3: Cross multiply
    564,185.87x = 778,576.50 × 322,473.64
  4. Step 4: Simplify right side
    564,185.87x = 251,070,397,973.46
  5. Step 5: Solve for x
    x = 251,070,397,973.46/564,185.87
  6. Step 6: Final answer
    x = 445,013.62

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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.