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Finding the Fourth Proportional to 311,957.30, 430,501.07 and 168,717.34

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Solution

The fourth proportional to 311,957.30, 430,501.07 and 168,717.34 is: 232,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,957.30 : 430,501.07 = 168,717.34 : x
  2. Step 2: Convert to fraction form
    311,957.30/430,501.07 = 168,717.34/x
  3. Step 3: Cross multiply
    311,957.30x = 430,501.07 × 168,717.34
  4. Step 4: Simplify right side
    311,957.30x = 72,632,995,397.55
  5. Step 5: Solve for x
    x = 72,632,995,397.55/311,957.30
  6. Step 6: Final answer
    x = 232,829.93

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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.