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Finding the Fourth Proportional to 680,181.40, 1,019,713.38 and 466,358.68

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Solution

The fourth proportional to 680,181.40, 1,019,713.38 and 466,358.68 is: 699,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,181.40 : 1,019,713.38 = 466,358.68 : x
  2. Step 2: Convert to fraction form
    680,181.40/1,019,713.38 = 466,358.68/x
  3. Step 3: Cross multiply
    680,181.40x = 1,019,713.38 × 466,358.68
  4. Step 4: Simplify right side
    680,181.40x = 475,552,185,875.14
  5. Step 5: Solve for x
    x = 475,552,185,875.14/680,181.40
  6. Step 6: Final answer
    x = 699,154.94

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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.