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Finding the Fourth Proportional to 242,567.70, 363,851.55 and 207,138.30

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Solution

The fourth proportional to 242,567.70, 363,851.55 and 207,138.30 is: 310,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,567.70 : 363,851.55 = 207,138.30 : x
  2. Step 2: Convert to fraction form
    242,567.70/363,851.55 = 207,138.30/x
  3. Step 3: Cross multiply
    242,567.70x = 363,851.55 × 207,138.30
  4. Step 4: Simplify right side
    242,567.70x = 75,367,591,519.37
  5. Step 5: Solve for x
    x = 75,367,591,519.37/242,567.70
  6. Step 6: Final answer
    x = 310,707.45

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1.5x scale

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.