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Finding the Fourth Proportional to 298,775.41, 412,304.70 and 162,810.52

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Solution

The fourth proportional to 298,775.41, 412,304.70 and 162,810.52 is: 224,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,775.41 : 412,304.70 = 162,810.52 : x
  2. Step 2: Convert to fraction form
    298,775.41/412,304.70 = 162,810.52/x
  3. Step 3: Cross multiply
    298,775.41x = 412,304.70 × 162,810.52
  4. Step 4: Simplify right side
    298,775.41x = 67,127,542,605.44
  5. Step 5: Solve for x
    x = 67,127,542,605.44/298,775.41
  6. Step 6: Final answer
    x = 224,675.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.