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Finding the Fourth Proportional to 457,966.80, 686,950.20 and 339,868.80

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Solution

The fourth proportional to 457,966.80, 686,950.20 and 339,868.80 is: 509,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,966.80 : 686,950.20 = 339,868.80 : x
  2. Step 2: Convert to fraction form
    457,966.80/686,950.20 = 339,868.80/x
  3. Step 3: Cross multiply
    457,966.80x = 686,950.20 × 339,868.80
  4. Step 4: Simplify right side
    457,966.80x = 233,472,940,133.76
  5. Step 5: Solve for x
    x = 233,472,940,133.76/457,966.80
  6. Step 6: Final answer
    x = 509,803.20

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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.