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Finding the Fourth Proportional to 457,833.80, 686,750.70 and 434,505.80

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Solution

The fourth proportional to 457,833.80, 686,750.70 and 434,505.80 is: 651,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,833.80 : 686,750.70 = 434,505.80 : x
  2. Step 2: Convert to fraction form
    457,833.80/686,750.70 = 434,505.80/x
  3. Step 3: Cross multiply
    457,833.80x = 686,750.70 × 434,505.80
  4. Step 4: Simplify right side
    457,833.80x = 298,397,162,304.06
  5. Step 5: Solve for x
    x = 298,397,162,304.06/457,833.80
  6. Step 6: Final answer
    x = 651,758.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.