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Finding the Fourth Proportional to 522,470.46, 783,775.41 and 206,853.54

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Solution

The fourth proportional to 522,470.46, 783,775.41 and 206,853.54 is: 310,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,470.46 : 783,775.41 = 206,853.54 : x
  2. Step 2: Convert to fraction form
    522,470.46/783,775.41 = 206,853.54/x
  3. Step 3: Cross multiply
    522,470.46x = 783,775.41 × 206,853.54
  4. Step 4: Simplify right side
    522,470.46x = 162,126,718,123.45
  5. Step 5: Solve for x
    x = 162,126,718,123.45/522,470.46
  6. Step 6: Final answer
    x = 310,307.91

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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.