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Finding the Fourth Proportional to 535,864.40, 803,796.60 and 409,893.20

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Solution

The fourth proportional to 535,864.40, 803,796.60 and 409,893.20 is: 614,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,864.40 : 803,796.60 = 409,893.20 : x
  2. Step 2: Convert to fraction form
    535,864.40/803,796.60 = 409,893.20/x
  3. Step 3: Cross multiply
    535,864.40x = 803,796.60 × 409,893.20
  4. Step 4: Simplify right side
    535,864.40x = 329,470,760,523.12
  5. Step 5: Solve for x
    x = 329,470,760,523.12/535,864.40
  6. Step 6: Final answer
    x = 614,839.80

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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.