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Finding the Fourth Proportional to 298,934.96, 412,509.51 and 168,132.24

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Solution

The fourth proportional to 298,934.96, 412,509.51 and 168,132.24 is: 232,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,934.96 : 412,509.51 = 168,132.24 : x
  2. Step 2: Convert to fraction form
    298,934.96/412,509.51 = 168,132.24/x
  3. Step 3: Cross multiply
    298,934.96x = 412,509.51 × 168,132.24
  4. Step 4: Simplify right side
    298,934.96x = 69,356,147,937.60
  5. Step 5: Solve for x
    x = 69,356,147,937.60/298,934.96
  6. Step 6: Final answer
    x = 232,010.83

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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.