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Finding the Fourth Proportional to 538,174.86, 806,803.86 and 238,492.05

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Solution

The fourth proportional to 538,174.86, 806,803.86 and 238,492.05 is: 357,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,174.86 : 806,803.86 = 238,492.05 : x
  2. Step 2: Convert to fraction form
    538,174.86/806,803.86 = 238,492.05/x
  3. Step 3: Cross multiply
    538,174.86x = 806,803.86 × 238,492.05
  4. Step 4: Simplify right side
    538,174.86x = 192,416,306,519.31
  5. Step 5: Solve for x
    x = 192,416,306,519.31/538,174.86
  6. Step 6: Final answer
    x = 357,534.92

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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.