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Finding the Fourth Proportional to 538,490.80, 808,392.30 and 272,114.20

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Solution

The fourth proportional to 538,490.80, 808,392.30 and 272,114.20 is: 408,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,490.80 : 808,392.30 = 272,114.20 : x
  2. Step 2: Convert to fraction form
    538,490.80/808,392.30 = 272,114.20/x
  3. Step 3: Cross multiply
    538,490.80x = 808,392.30 × 272,114.20
  4. Step 4: Simplify right side
    538,490.80x = 219,975,024,000.66
  5. Step 5: Solve for x
    x = 219,975,024,000.66/538,490.80
  6. Step 6: Final answer
    x = 408,502.85

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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.