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Finding the Fourth Proportional to 569,017.28, 785,259.78 and 314,384.96

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Solution

The fourth proportional to 569,017.28, 785,259.78 and 314,384.96 is: 433,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,017.28 : 785,259.78 = 314,384.96 : x
  2. Step 2: Convert to fraction form
    569,017.28/785,259.78 = 314,384.96/x
  3. Step 3: Cross multiply
    569,017.28x = 785,259.78 × 314,384.96
  4. Step 4: Simplify right side
    569,017.28x = 246,873,864,524.91
  5. Step 5: Solve for x
    x = 246,873,864,524.91/569,017.28
  6. Step 6: Final answer
    x = 433,860.05

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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.