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Finding the Fourth Proportional to 360,009.16, 538,841.87 and 265,202.10

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Solution

The fourth proportional to 360,009.16, 538,841.87 and 265,202.10 is: 396,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,009.16 : 538,841.87 = 265,202.10 : x
  2. Step 2: Convert to fraction form
    360,009.16/538,841.87 = 265,202.10/x
  3. Step 3: Cross multiply
    360,009.16x = 538,841.87 × 265,202.10
  4. Step 4: Simplify right side
    360,009.16x = 142,901,995,160.42
  5. Step 5: Solve for x
    x = 142,901,995,160.42/360,009.16
  6. Step 6: Final answer
    x = 396,939.89

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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.