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Finding the Fourth Proportional to 488,429.94, 674,362.44 and 304,948.14

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Solution

The fourth proportional to 488,429.94, 674,362.44 and 304,948.14 is: 421,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,429.94 : 674,362.44 = 304,948.14 : x
  2. Step 2: Convert to fraction form
    488,429.94/674,362.44 = 304,948.14/x
  3. Step 3: Cross multiply
    488,429.94x = 674,362.44 × 304,948.14
  4. Step 4: Simplify right side
    488,429.94x = 205,645,571,763.86
  5. Step 5: Solve for x
    x = 205,645,571,763.86/488,429.94
  6. Step 6: Final answer
    x = 421,033.92

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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.