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Finding the Fourth Proportional to 564,085.61, 846,045.32 and 185,046.39

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Solution

The fourth proportional to 564,085.61, 846,045.32 and 185,046.39 is: 277,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,085.61 : 846,045.32 = 185,046.39 : x
  2. Step 2: Convert to fraction form
    564,085.61/846,045.32 = 185,046.39/x
  3. Step 3: Cross multiply
    564,085.61x = 846,045.32 × 185,046.39
  4. Step 4: Simplify right side
    564,085.61x = 156,557,631,317.16
  5. Step 5: Solve for x
    x = 156,557,631,317.16/564,085.61
  6. Step 6: Final answer
    x = 277,542.33

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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.