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Finding the Fourth Proportional to 702,423.40, 969,344.38 and 380,133.58

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Solution

The fourth proportional to 702,423.40, 969,344.38 and 380,133.58 is: 524,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,423.40 : 969,344.38 = 380,133.58 : x
  2. Step 2: Convert to fraction form
    702,423.40/969,344.38 = 380,133.58/x
  3. Step 3: Cross multiply
    702,423.40x = 969,344.38 × 380,133.58
  4. Step 4: Simplify right side
    702,423.40x = 368,480,349,422.28
  5. Step 5: Solve for x
    x = 368,480,349,422.28/702,423.40
  6. Step 6: Final answer
    x = 524,584.39

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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.