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Finding the Fourth Proportional to 465,382.16, 698,034.12 and 184,824.08

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Solution

The fourth proportional to 465,382.16, 698,034.12 and 184,824.08 is: 277,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,382.16 : 698,034.12 = 184,824.08 : x
  2. Step 2: Convert to fraction form
    465,382.16/698,034.12 = 184,824.08/x
  3. Step 3: Cross multiply
    465,382.16x = 698,034.12 × 184,824.08
  4. Step 4: Simplify right side
    465,382.16x = 129,013,514,037.61
  5. Step 5: Solve for x
    x = 129,013,514,037.61/465,382.16
  6. Step 6: Final answer
    x = 277,220.58

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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.