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Finding the Fourth Proportional to 257,470.40, 386,205.60 and 152,235.20

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Solution

The fourth proportional to 257,470.40, 386,205.60 and 152,235.20 is: 228,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,470.40 : 386,205.60 = 152,235.20 : x
  2. Step 2: Convert to fraction form
    257,470.40/386,205.60 = 152,235.20/x
  3. Step 3: Cross multiply
    257,470.40x = 386,205.60 × 152,235.20
  4. Step 4: Simplify right side
    257,470.40x = 58,794,086,757.12
  5. Step 5: Solve for x
    x = 58,794,086,757.12/257,470.40
  6. Step 6: Final answer
    x = 228,352.80

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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.