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Finding the Fourth Proportional to 702,294.30, 969,164.19 and 380,009.88

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Solution

The fourth proportional to 702,294.30, 969,164.19 and 380,009.88 is: 524,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,294.30 : 969,164.19 = 380,009.88 : x
  2. Step 2: Convert to fraction form
    702,294.30/969,164.19 = 380,009.88/x
  3. Step 3: Cross multiply
    702,294.30x = 969,164.19 × 380,009.88
  4. Step 4: Simplify right side
    702,294.30x = 368,291,967,542.20
  5. Step 5: Solve for x
    x = 368,291,967,542.20/702,294.30
  6. Step 6: Final answer
    x = 524,412.58

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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.