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Finding the Fourth Proportional to 457,289.60, 685,934.40 and 141,843.20

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Solution

The fourth proportional to 457,289.60, 685,934.40 and 141,843.20 is: 212,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,289.60 : 685,934.40 = 141,843.20 : x
  2. Step 2: Convert to fraction form
    457,289.60/685,934.40 = 141,843.20/x
  3. Step 3: Cross multiply
    457,289.60x = 685,934.40 × 141,843.20
  4. Step 4: Simplify right side
    457,289.60x = 97,295,130,286.08
  5. Step 5: Solve for x
    x = 97,295,130,286.08/457,289.60
  6. Step 6: Final answer
    x = 212,764.80

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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.