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Finding the Fourth Proportional to 569,163.60, 785,446.07 and 314,514.80

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Solution

The fourth proportional to 569,163.60, 785,446.07 and 314,514.80 is: 434,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,163.60 : 785,446.07 = 314,514.80 : x
  2. Step 2: Convert to fraction form
    569,163.60/785,446.07 = 314,514.80/x
  3. Step 3: Cross multiply
    569,163.60x = 785,446.07 × 314,514.80
  4. Step 4: Simplify right side
    569,163.60x = 247,034,408,117.03
  5. Step 5: Solve for x
    x = 247,034,408,117.03/569,163.60
  6. Step 6: Final answer
    x = 434,030.58

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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.