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Finding the Fourth Proportional to 564,281.64, 778,678.92 and 322,532.28

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Solution

The fourth proportional to 564,281.64, 778,678.92 and 322,532.28 is: 445,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,281.64 : 778,678.92 = 322,532.28 : x
  2. Step 2: Convert to fraction form
    564,281.64/778,678.92 = 322,532.28/x
  3. Step 3: Cross multiply
    564,281.64x = 778,678.92 × 322,532.28
  4. Step 4: Simplify right side
    564,281.64x = 251,149,087,455.54
  5. Step 5: Solve for x
    x = 251,149,087,455.54/564,281.64
  6. Step 6: Final answer
    x = 445,077.55

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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.