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Finding the Fourth Proportional to 415,009.40, 622,514.10 and 411,510.20

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Solution

The fourth proportional to 415,009.40, 622,514.10 and 411,510.20 is: 617,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,009.40 : 622,514.10 = 411,510.20 : x
  2. Step 2: Convert to fraction form
    415,009.40/622,514.10 = 411,510.20/x
  3. Step 3: Cross multiply
    415,009.40x = 622,514.10 × 411,510.20
  4. Step 4: Simplify right side
    415,009.40x = 256,170,901,793.82
  5. Step 5: Solve for x
    x = 256,170,901,793.82/415,009.40
  6. Step 6: Final answer
    x = 617,265.30

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