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Finding the Fourth Proportional to 569,414.46, 785,761.12 and 314,749.26

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Solution

The fourth proportional to 569,414.46, 785,761.12 and 314,749.26 is: 434,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,414.46 : 785,761.12 = 314,749.26 : x
  2. Step 2: Convert to fraction form
    569,414.46/785,761.12 = 314,749.26/x
  3. Step 3: Cross multiply
    569,414.46x = 785,761.12 × 314,749.26
  4. Step 4: Simplify right side
    569,414.46x = 247,317,731,056.77
  5. Step 5: Solve for x
    x = 247,317,731,056.77/569,414.46
  6. Step 6: Final answer
    x = 434,336.93

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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.