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Finding the Fourth Proportional to 312,237.92, 430,892.16 and 189,695.36

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Solution

The fourth proportional to 312,237.92, 430,892.16 and 189,695.36 is: 261,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,237.92 : 430,892.16 = 189,695.36 : x
  2. Step 2: Convert to fraction form
    312,237.92/430,892.16 = 189,695.36/x
  3. Step 3: Cross multiply
    312,237.92x = 430,892.16 × 189,695.36
  4. Step 4: Simplify right side
    312,237.92x = 81,738,243,412.38
  5. Step 5: Solve for x
    x = 81,738,243,412.38/312,237.92
  6. Step 6: Final answer
    x = 261,781.92

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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.