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Finding the Fourth Proportional to 457,835.63, 686,851.86 and 154,259.96

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Solution

The fourth proportional to 457,835.63, 686,851.86 and 154,259.96 is: 231,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,835.63 : 686,851.86 = 154,259.96 : x
  2. Step 2: Convert to fraction form
    457,835.63/686,851.86 = 154,259.96/x
  3. Step 3: Cross multiply
    457,835.63x = 686,851.86 × 154,259.96
  4. Step 4: Simplify right side
    457,835.63x = 105,953,737,015.27
  5. Step 5: Solve for x
    x = 105,953,737,015.27/457,835.63
  6. Step 6: Final answer
    x = 231,423.09

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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.