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Finding the Fourth Proportional to 569,378.20, 785,708.14 and 314,714.20

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Solution

The fourth proportional to 569,378.20, 785,708.14 and 314,714.20 is: 434,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,378.20 : 785,708.14 = 314,714.20 : x
  2. Step 2: Convert to fraction form
    569,378.20/785,708.14 = 314,714.20/x
  3. Step 3: Cross multiply
    569,378.20x = 785,708.14 × 314,714.20
  4. Step 4: Simplify right side
    569,378.20x = 247,273,508,713.59
  5. Step 5: Solve for x
    x = 247,273,508,713.59/569,378.20
  6. Step 6: Final answer
    x = 434,286.93

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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.