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Finding the Fourth Proportional to 312,178.34, 430,809.14 and 168,941.36

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Solution

The fourth proportional to 312,178.34, 430,809.14 and 168,941.36 is: 233,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,178.34 : 430,809.14 = 168,941.36 : x
  2. Step 2: Convert to fraction form
    312,178.34/430,809.14 = 168,941.36/x
  3. Step 3: Cross multiply
    312,178.34x = 430,809.14 × 168,941.36
  4. Step 4: Simplify right side
    312,178.34x = 72,781,479,013.28
  5. Step 5: Solve for x
    x = 72,781,479,013.28/312,178.34
  6. Step 6: Final answer
    x = 233,140.71

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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.