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Finding the Fourth Proportional to 569,035.68, 785,259 and 314,404.08

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Solution

The fourth proportional to 569,035.68, 785,259 and 314,404.08 is: 433,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,035.68 : 785,259 = 314,404.08 : x
  2. Step 2: Convert to fraction form
    569,035.68/785,259 = 314,404.08/x
  3. Step 3: Cross multiply
    569,035.68x = 785,259 × 314,404.08
  4. Step 4: Simplify right side
    569,035.68x = 246,888,633,456.72
  5. Step 5: Solve for x
    x = 246,888,633,456.72/569,035.68
  6. Step 6: Final answer
    x = 433,871.97

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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.