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Finding the Fourth Proportional to 469,138.13, 702,709.34 and 276,805.28

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Solution

The fourth proportional to 469,138.13, 702,709.34 and 276,805.28 is: 414,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,138.13 : 702,709.34 = 276,805.28 : x
  2. Step 2: Convert to fraction form
    469,138.13/702,709.34 = 276,805.28/x
  3. Step 3: Cross multiply
    469,138.13x = 702,709.34 × 276,805.28
  4. Step 4: Simplify right side
    469,138.13x = 194,513,650,719.74
  5. Step 5: Solve for x
    x = 194,513,650,719.74/469,138.13
  6. Step 6: Final answer
    x = 414,619.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.