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Finding the Fourth Proportional to 393,065.88, 542,432.74 and 223,309.32

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Solution

The fourth proportional to 393,065.88, 542,432.74 and 223,309.32 is: 308,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,065.88 : 542,432.74 = 223,309.32 : x
  2. Step 2: Convert to fraction form
    393,065.88/542,432.74 = 223,309.32/x
  3. Step 3: Cross multiply
    393,065.88x = 542,432.74 × 223,309.32
  4. Step 4: Simplify right side
    393,065.88x = 121,130,286,315.14
  5. Step 5: Solve for x
    x = 121,130,286,315.14/393,065.88
  6. Step 6: Final answer
    x = 308,167.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.