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Finding the Fourth Proportional to 564,547.26, 846,642.54 and 185,405.52

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Solution

The fourth proportional to 564,547.26, 846,642.54 and 185,405.52 is: 278,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,547.26 : 846,642.54 = 185,405.52 : x
  2. Step 2: Convert to fraction form
    564,547.26/846,642.54 = 185,405.52/x
  3. Step 3: Cross multiply
    564,547.26x = 846,642.54 × 185,405.52
  4. Step 4: Simplify right side
    564,547.26x = 156,972,200,382.82
  5. Step 5: Solve for x
    x = 156,972,200,382.82/564,547.26
  6. Step 6: Final answer
    x = 278,049.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.