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Finding the Fourth Proportional to 298,807.92, 412,354.92 and 162,841.92

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Solution

The fourth proportional to 298,807.92, 412,354.92 and 162,841.92 is: 224,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,807.92 : 412,354.92 = 162,841.92 : x
  2. Step 2: Convert to fraction form
    298,807.92/412,354.92 = 162,841.92/x
  3. Step 3: Cross multiply
    298,807.92x = 412,354.92 × 162,841.92
  4. Step 4: Simplify right side
    298,807.92x = 67,148,666,894.25
  5. Step 5: Solve for x
    x = 67,148,666,894.25/298,807.92
  6. Step 6: Final answer
    x = 224,721.84

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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.