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Finding the Fourth Proportional to 569,207.97, 785,507.76 and 314,559.23

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Solution

The fourth proportional to 569,207.97, 785,507.76 and 314,559.23 is: 434,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,207.97 : 785,507.76 = 314,559.23 : x
  2. Step 2: Convert to fraction form
    569,207.97/785,507.76 = 314,559.23/x
  3. Step 3: Cross multiply
    569,207.97x = 785,507.76 × 314,559.23
  4. Step 4: Simplify right side
    569,207.97x = 247,088,712,217.09
  5. Step 5: Solve for x
    x = 247,088,712,217.09/569,207.97
  6. Step 6: Final answer
    x = 434,092.15

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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.