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Finding the Fourth Proportional to 298,763.78, 412,264.49 and 176,253.57

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Solution

The fourth proportional to 298,763.78, 412,264.49 and 176,253.57 is: 243,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,763.78 : 412,264.49 = 176,253.57 : x
  2. Step 2: Convert to fraction form
    298,763.78/412,264.49 = 176,253.57/x
  3. Step 3: Cross multiply
    298,763.78x = 412,264.49 × 176,253.57
  4. Step 4: Simplify right side
    298,763.78x = 72,663,087,265.46
  5. Step 5: Solve for x
    x = 72,663,087,265.46/298,763.78
  6. Step 6: Final answer
    x = 243,212.51

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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.