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Finding the Fourth Proportional to 298,859.83, 412,421.49 and 162,894.98

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Solution

The fourth proportional to 298,859.83, 412,421.49 and 162,894.98 is: 224,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,859.83 : 412,421.49 = 162,894.98 : x
  2. Step 2: Convert to fraction form
    298,859.83/412,421.49 = 162,894.98/x
  3. Step 3: Cross multiply
    298,859.83x = 412,421.49 × 162,894.98
  4. Step 4: Simplify right side
    298,859.83x = 67,181,391,396.17
  5. Step 5: Solve for x
    x = 67,181,391,396.17/298,859.83
  6. Step 6: Final answer
    x = 224,792.31

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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.