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Finding the Fourth Proportional to 295,263.20, 442,894.80 and 137,507.60

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Solution

The fourth proportional to 295,263.20, 442,894.80 and 137,507.60 is: 206,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,263.20 : 442,894.80 = 137,507.60 : x
  2. Step 2: Convert to fraction form
    295,263.20/442,894.80 = 137,507.60/x
  3. Step 3: Cross multiply
    295,263.20x = 442,894.80 × 137,507.60
  4. Step 4: Simplify right side
    295,263.20x = 60,901,401,000.48
  5. Step 5: Solve for x
    x = 60,901,401,000.48/295,263.20
  6. Step 6: Final answer
    x = 206,261.40

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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.