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Finding the Fourth Proportional to 702,393.11, 969,294.57 and 380,097.35

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Solution

The fourth proportional to 702,393.11, 969,294.57 and 380,097.35 is: 524,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,393.11 : 969,294.57 = 380,097.35 : x
  2. Step 2: Convert to fraction form
    702,393.11/969,294.57 = 380,097.35/x
  3. Step 3: Cross multiply
    702,393.11x = 969,294.57 × 380,097.35
  4. Step 4: Simplify right side
    702,393.11x = 368,426,297,426.39
  5. Step 5: Solve for x
    x = 368,426,297,426.39/702,393.11
  6. Step 6: Final answer
    x = 524,530.06

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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.