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Finding the Fourth Proportional to 564,836.99, 779,280.18 and 361,007.22

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Solution

The fourth proportional to 564,836.99, 779,280.18 and 361,007.22 is: 498,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,836.99 : 779,280.18 = 361,007.22 : x
  2. Step 2: Convert to fraction form
    564,836.99/779,280.18 = 361,007.22/x
  3. Step 3: Cross multiply
    564,836.99x = 779,280.18 × 361,007.22
  4. Step 4: Simplify right side
    564,836.99x = 281,325,771,382.90
  5. Step 5: Solve for x
    x = 281,325,771,382.90/564,836.99
  6. Step 6: Final answer
    x = 498,065.42

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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.