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Finding the Fourth Proportional to 314,432.74, 433,963.74 and 185,394.88

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Solution

The fourth proportional to 314,432.74, 433,963.74 and 185,394.88 is: 255,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,432.74 : 433,963.74 = 185,394.88 : x
  2. Step 2: Convert to fraction form
    314,432.74/433,963.74 = 185,394.88/x
  3. Step 3: Cross multiply
    314,432.74x = 433,963.74 × 185,394.88
  4. Step 4: Simplify right side
    314,432.74x = 80,454,655,501.65
  5. Step 5: Solve for x
    x = 80,454,655,501.65/314,432.74
  6. Step 6: Final answer
    x = 255,872.39

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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.