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Finding the Fourth Proportional to 312,093.80, 430,689.54 and 168,853.76

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Solution

The fourth proportional to 312,093.80, 430,689.54 and 168,853.76 is: 233,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,093.80 : 430,689.54 = 168,853.76 : x
  2. Step 2: Convert to fraction form
    312,093.80/430,689.54 = 168,853.76/x
  3. Step 3: Cross multiply
    312,093.80x = 430,689.54 × 168,853.76
  4. Step 4: Simplify right side
    312,093.80x = 72,723,548,221.67
  5. Step 5: Solve for x
    x = 72,723,548,221.67/312,093.80
  6. Step 6: Final answer
    x = 233,018.24

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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.