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Finding the Fourth Proportional to 569,732.22, 786,217.05 and 315,077.94

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Solution

The fourth proportional to 569,732.22, 786,217.05 and 315,077.94 is: 434,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,732.22 : 786,217.05 = 315,077.94 : x
  2. Step 2: Convert to fraction form
    569,732.22/786,217.05 = 315,077.94/x
  3. Step 3: Cross multiply
    569,732.22x = 786,217.05 × 315,077.94
  4. Step 4: Simplify right side
    569,732.22x = 247,719,648,506.88
  5. Step 5: Solve for x
    x = 247,719,648,506.88/569,732.22
  6. Step 6: Final answer
    x = 434,800.14

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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.