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Finding the Fourth Proportional to 341,473.20, 511,864.20 and 201,159.60

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Solution

The fourth proportional to 341,473.20, 511,864.20 and 201,159.60 is: 301,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,473.20 : 511,864.20 = 201,159.60 : x
  2. Step 2: Convert to fraction form
    341,473.20/511,864.20 = 201,159.60/x
  3. Step 3: Cross multiply
    341,473.20x = 511,864.20 × 201,159.60
  4. Step 4: Simplify right side
    341,473.20x = 102,966,397,726.32
  5. Step 5: Solve for x
    x = 102,966,397,726.32/341,473.20
  6. Step 6: Final answer
    x = 301,535.81

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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.