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Finding the Fourth Proportional to 457,845.60, 686,768.40 and 233,896.80

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Solution

The fourth proportional to 457,845.60, 686,768.40 and 233,896.80 is: 350,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,845.60 : 686,768.40 = 233,896.80 : x
  2. Step 2: Convert to fraction form
    457,845.60/686,768.40 = 233,896.80/x
  3. Step 3: Cross multiply
    457,845.60x = 686,768.40 × 233,896.80
  4. Step 4: Simplify right side
    457,845.60x = 160,632,931,101.12
  5. Step 5: Solve for x
    x = 160,632,931,101.12/457,845.60
  6. Step 6: Final answer
    x = 350,845.20

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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.