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Finding the Fourth Proportional to 383,275.68, 574,701.88 and 177,886.40

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Solution

The fourth proportional to 383,275.68, 574,701.88 and 177,886.40 is: 266,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,275.68 : 574,701.88 = 177,886.40 : x
  2. Step 2: Convert to fraction form
    383,275.68/574,701.88 = 177,886.40/x
  3. Step 3: Cross multiply
    383,275.68x = 574,701.88 × 177,886.40
  4. Step 4: Simplify right side
    383,275.68x = 102,231,648,506.43
  5. Step 5: Solve for x
    x = 102,231,648,506.43/383,275.68
  6. Step 6: Final answer
    x = 266,731.37

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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.