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Finding the Fourth Proportional to 564,842, 779,287.06 and 361,012.24

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Solution

The fourth proportional to 564,842, 779,287.06 and 361,012.24 is: 498,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,842 : 779,287.06 = 361,012.24 : x
  2. Step 2: Convert to fraction form
    564,842/779,287.06 = 361,012.24/x
  3. Step 3: Cross multiply
    564,842x = 779,287.06 × 361,012.24
  4. Step 4: Simplify right side
    564,842x = 281,332,167,133.61
  5. Step 5: Solve for x
    x = 281,332,167,133.61/564,842
  6. Step 6: Final answer
    x = 498,072.32

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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.