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Finding the Fourth Proportional to 474,273.27, 711,411.12 and 193,790.52

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Solution

The fourth proportional to 474,273.27, 711,411.12 and 193,790.52 is: 290,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,273.27 : 711,411.12 = 193,790.52 : x
  2. Step 2: Convert to fraction form
    474,273.27/711,411.12 = 193,790.52/x
  3. Step 3: Cross multiply
    474,273.27x = 711,411.12 × 193,790.52
  4. Step 4: Simplify right side
    474,273.27x = 137,864,730,878.58
  5. Step 5: Solve for x
    x = 137,864,730,878.58/474,273.27
  6. Step 6: Final answer
    x = 290,686.28

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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.