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Finding the Fourth Proportional to 381,886.20, 572,756.40 and 115,655.40

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Solution

The fourth proportional to 381,886.20, 572,756.40 and 115,655.40 is: 173,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,886.20 : 572,756.40 = 115,655.40 : x
  2. Step 2: Convert to fraction form
    381,886.20/572,756.40 = 115,655.40/x
  3. Step 3: Cross multiply
    381,886.20x = 572,756.40 × 115,655.40
  4. Step 4: Simplify right side
    381,886.20x = 66,242,370,544.56
  5. Step 5: Solve for x
    x = 66,242,370,544.56/381,886.20
  6. Step 6: Final answer
    x = 173,461.02

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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.