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Finding the Fourth Proportional to 412,333.20, 569,293.92 and 316,668.96

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Solution

The fourth proportional to 412,333.20, 569,293.92 and 316,668.96 is: 437,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,333.20 : 569,293.92 = 316,668.96 : x
  2. Step 2: Convert to fraction form
    412,333.20/569,293.92 = 316,668.96/x
  3. Step 3: Cross multiply
    412,333.20x = 569,293.92 × 316,668.96
  4. Step 4: Simplify right side
    412,333.20x = 180,277,713,580.72
  5. Step 5: Solve for x
    x = 180,277,713,580.72/412,333.20
  6. Step 6: Final answer
    x = 437,213.67

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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.