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Finding the Fourth Proportional to 569,414.34, 785,760.95 and 314,749.13

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Solution

The fourth proportional to 569,414.34, 785,760.95 and 314,749.13 is: 434,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,414.34 : 785,760.95 = 314,749.13 : x
  2. Step 2: Convert to fraction form
    569,414.34/785,760.95 = 314,749.13/x
  3. Step 3: Cross multiply
    569,414.34x = 785,760.95 × 314,749.13
  4. Step 4: Simplify right side
    569,414.34x = 247,317,572,258.54
  5. Step 5: Solve for x
    x = 247,317,572,258.54/569,414.34
  6. Step 6: Final answer
    x = 434,336.75

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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.