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Finding the Fourth Proportional to 485,576.40, 728,145.90 and 185,957.40

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Solution

The fourth proportional to 485,576.40, 728,145.90 and 185,957.40 is: 278,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,576.40 : 728,145.90 = 185,957.40 : x
  2. Step 2: Convert to fraction form
    485,576.40/728,145.90 = 185,957.40/x
  3. Step 3: Cross multiply
    485,576.40x = 728,145.90 × 185,957.40
  4. Step 4: Simplify right side
    485,576.40x = 135,404,118,384.66
  5. Step 5: Solve for x
    x = 135,404,118,384.66/485,576.40
  6. Step 6: Final answer
    x = 278,852.35

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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.