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Finding the Fourth Proportional to 409,732.40, 614,598.60 and 401,859.20

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Solution

The fourth proportional to 409,732.40, 614,598.60 and 401,859.20 is: 602,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,732.40 : 614,598.60 = 401,859.20 : x
  2. Step 2: Convert to fraction form
    409,732.40/614,598.60 = 401,859.20/x
  3. Step 3: Cross multiply
    409,732.40x = 614,598.60 × 401,859.20
  4. Step 4: Simplify right side
    409,732.40x = 246,982,101,717.12
  5. Step 5: Solve for x
    x = 246,982,101,717.12/409,732.40
  6. Step 6: Final answer
    x = 602,788.80

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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.