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Finding the Fourth Proportional to 564,689.76, 779,272.46 and 335,292.85

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Solution

The fourth proportional to 564,689.76, 779,272.46 and 335,292.85 is: 462,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,689.76 : 779,272.46 = 335,292.85 : x
  2. Step 2: Convert to fraction form
    564,689.76/779,272.46 = 335,292.85/x
  3. Step 3: Cross multiply
    564,689.76x = 779,272.46 × 335,292.85
  4. Step 4: Simplify right side
    564,689.76x = 261,284,484,039.91
  5. Step 5: Solve for x
    x = 261,284,484,039.91/564,689.76
  6. Step 6: Final answer
    x = 462,704.48

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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.