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Finding the Fourth Proportional to 551,446.20, 827,169.30 and 502,457.40

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Solution

The fourth proportional to 551,446.20, 827,169.30 and 502,457.40 is: 753,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,446.20 : 827,169.30 = 502,457.40 : x
  2. Step 2: Convert to fraction form
    551,446.20/827,169.30 = 502,457.40/x
  3. Step 3: Cross multiply
    551,446.20x = 827,169.30 × 502,457.40
  4. Step 4: Simplify right side
    551,446.20x = 415,617,335,837.82
  5. Step 5: Solve for x
    x = 415,617,335,837.82/551,446.20
  6. Step 6: Final answer
    x = 753,686.10

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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.