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Finding the Fourth Proportional to 408,046.40, 571,855.46 and 408,046.40

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Solution

The fourth proportional to 408,046.40, 571,855.46 and 408,046.40 is: 571,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046.40 : 571,855.46 = 408,046.40 : x
  2. Step 2: Convert to fraction form
    408,046.40/571,855.46 = 408,046.40/x
  3. Step 3: Cross multiply
    408,046.40x = 571,855.46 × 408,046.40
  4. Step 4: Simplify right side
    408,046.40x = 233,343,561,773.34
  5. Step 5: Solve for x
    x = 233,343,561,773.34/408,046.40
  6. Step 6: Final answer
    x = 571,855.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.