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Finding the Fourth Proportional to 412,711.34, 569,502.08 and 231,430.92

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Solution

The fourth proportional to 412,711.34, 569,502.08 and 231,430.92 is: 319,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,711.34 : 569,502.08 = 231,430.92 : x
  2. Step 2: Convert to fraction form
    412,711.34/569,502.08 = 231,430.92/x
  3. Step 3: Cross multiply
    412,711.34x = 569,502.08 × 231,430.92
  4. Step 4: Simplify right side
    412,711.34x = 131,800,390,316.31
  5. Step 5: Solve for x
    x = 131,800,390,316.31/412,711.34
  6. Step 6: Final answer
    x = 319,352.48

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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.