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Finding the Fourth Proportional to 554,924.80, 832,387.20 and 413,207.20

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Solution

The fourth proportional to 554,924.80, 832,387.20 and 413,207.20 is: 619,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,924.80 : 832,387.20 = 413,207.20 : x
  2. Step 2: Convert to fraction form
    554,924.80/832,387.20 = 413,207.20/x
  3. Step 3: Cross multiply
    554,924.80x = 832,387.20 × 413,207.20
  4. Step 4: Simplify right side
    554,924.80x = 343,948,384,227.84
  5. Step 5: Solve for x
    x = 343,948,384,227.84/554,924.80
  6. Step 6: Final answer
    x = 619,810.80

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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.