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Finding the Fourth Proportional to 551,853.80, 827,780.70 and 410,136.20

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Solution

The fourth proportional to 551,853.80, 827,780.70 and 410,136.20 is: 615,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,853.80 : 827,780.70 = 410,136.20 : x
  2. Step 2: Convert to fraction form
    551,853.80/827,780.70 = 410,136.20/x
  3. Step 3: Cross multiply
    551,853.80x = 827,780.70 × 410,136.20
  4. Step 4: Simplify right side
    551,853.80x = 339,502,830,731.34
  5. Step 5: Solve for x
    x = 339,502,830,731.34/551,853.80
  6. Step 6: Final answer
    x = 615,204.30

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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.