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Finding the Fourth Proportional to 569,469.24, 785,884.32 and 314,837.28

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Solution

The fourth proportional to 569,469.24, 785,884.32 and 314,837.28 is: 434,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,469.24 : 785,884.32 = 314,837.28 : x
  2. Step 2: Convert to fraction form
    569,469.24/785,884.32 = 314,837.28/x
  3. Step 3: Cross multiply
    569,469.24x = 785,884.32 × 314,837.28
  4. Step 4: Simplify right side
    569,469.24x = 247,425,681,703.45
  5. Step 5: Solve for x
    x = 247,425,681,703.45/569,469.24
  6. Step 6: Final answer
    x = 434,484.72

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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.