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Finding the Fourth Proportional to 298,805.32, 412,343.76 and 162,842.77

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Solution

The fourth proportional to 298,805.32, 412,343.76 and 162,842.77 is: 224,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805.32 : 412,343.76 = 162,842.77 : x
  2. Step 2: Convert to fraction form
    298,805.32/412,343.76 = 162,842.77/x
  3. Step 3: Cross multiply
    298,805.32x = 412,343.76 × 162,842.77
  4. Step 4: Simplify right side
    298,805.32x = 67,147,200,070.62
  5. Step 5: Solve for x
    x = 67,147,200,070.62/298,805.32
  6. Step 6: Final answer
    x = 224,718.89

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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.