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Finding the Fourth Proportional to 569,143.26, 785,410.02 and 314,498.70

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Solution

The fourth proportional to 569,143.26, 785,410.02 and 314,498.70 is: 434,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,143.26 : 785,410.02 = 314,498.70 : x
  2. Step 2: Convert to fraction form
    569,143.26/785,410.02 = 314,498.70/x
  3. Step 3: Cross multiply
    569,143.26x = 785,410.02 × 314,498.70
  4. Step 4: Simplify right side
    569,143.26x = 247,010,430,256.97
  5. Step 5: Solve for x
    x = 247,010,430,256.97/569,143.26
  6. Step 6: Final answer
    x = 434,003.96

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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.