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Finding the Fourth Proportional to 569,357.60, 785,744.16 and 314,732.48

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Solution

The fourth proportional to 569,357.60, 785,744.16 and 314,732.48 is: 434,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,357.60 : 785,744.16 = 314,732.48 : x
  2. Step 2: Convert to fraction form
    569,357.60/785,744.16 = 314,732.48/x
  3. Step 3: Cross multiply
    569,357.60x = 785,744.16 × 314,732.48
  4. Step 4: Simplify right side
    569,357.60x = 247,299,208,122.32
  5. Step 5: Solve for x
    x = 247,299,208,122.32/569,357.60
  6. Step 6: Final answer
    x = 434,347.78

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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.