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Finding the Fourth Proportional to 412,334.20, 569,295.30 and 316,669.96

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Solution

The fourth proportional to 412,334.20, 569,295.30 and 316,669.96 is: 437,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,334.20 : 569,295.30 = 316,669.96 : x
  2. Step 2: Convert to fraction form
    412,334.20/569,295.30 = 316,669.96/x
  3. Step 3: Cross multiply
    412,334.20x = 569,295.30 × 316,669.96
  4. Step 4: Simplify right side
    412,334.20x = 180,278,719,879.19
  5. Step 5: Solve for x
    x = 180,278,719,879.19/412,334.20
  6. Step 6: Final answer
    x = 437,215.05

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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.