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Finding the Fourth Proportional to 569,199.22, 785,463.99 and 314,534

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Solution

The fourth proportional to 569,199.22, 785,463.99 and 314,534 is: 434,039.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,199.22 : 785,463.99 = 314,534 : x
  2. Step 2: Convert to fraction form
    569,199.22/785,463.99 = 314,534/x
  3. Step 3: Cross multiply
    569,199.22x = 785,463.99 × 314,534
  4. Step 4: Simplify right side
    569,199.22x = 247,055,130,630.66
  5. Step 5: Solve for x
    x = 247,055,130,630.66/569,199.22
  6. Step 6: Final answer
    x = 434,039.83

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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.