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Finding the Fourth Proportional to 312,109.62, 430,708.20 and 168,866.52

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Solution

The fourth proportional to 312,109.62, 430,708.20 and 168,866.52 is: 233,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,109.62 : 430,708.20 = 168,866.52 : x
  2. Step 2: Convert to fraction form
    312,109.62/430,708.20 = 168,866.52/x
  3. Step 3: Cross multiply
    312,109.62x = 430,708.20 × 168,866.52
  4. Step 4: Simplify right side
    312,109.62x = 72,732,194,869.46
  5. Step 5: Solve for x
    x = 72,732,194,869.46/312,109.62
  6. Step 6: Final answer
    x = 233,034.13

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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.