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Finding the Fourth Proportional to 702,822.38, 969,894.69 and 380,535.26

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Solution

The fourth proportional to 702,822.38, 969,894.69 and 380,535.26 is: 525,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,822.38 : 969,894.69 = 380,535.26 : x
  2. Step 2: Convert to fraction form
    702,822.38/969,894.69 = 380,535.26/x
  3. Step 3: Cross multiply
    702,822.38x = 969,894.69 × 380,535.26
  4. Step 4: Simplify right side
    702,822.38x = 369,079,128,031.77
  5. Step 5: Solve for x
    x = 369,079,128,031.77/702,822.38
  6. Step 6: Final answer
    x = 525,138.55

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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.