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Finding the Fourth Proportional to 702,308.33, 969,182.38 and 380,024.14

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Solution

The fourth proportional to 702,308.33, 969,182.38 and 380,024.14 is: 524,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,308.33 : 969,182.38 = 380,024.14 : x
  2. Step 2: Convert to fraction form
    702,308.33/969,182.38 = 380,024.14/x
  3. Step 3: Cross multiply
    702,308.33x = 969,182.38 × 380,024.14
  4. Step 4: Simplify right side
    702,308.33x = 368,312,700,462.65
  5. Step 5: Solve for x
    x = 368,312,700,462.65/702,308.33
  6. Step 6: Final answer
    x = 524,431.63

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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.