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Finding the Fourth Proportional to 322,454.36, 480,441.52 and 304,346

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Solution

The fourth proportional to 322,454.36, 480,441.52 and 304,346 is: 453,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,454.36 : 480,441.52 = 304,346 : x
  2. Step 2: Convert to fraction form
    322,454.36/480,441.52 = 304,346/x
  3. Step 3: Cross multiply
    322,454.36x = 480,441.52 × 304,346
  4. Step 4: Simplify right side
    322,454.36x = 146,220,454,845.92
  5. Step 5: Solve for x
    x = 146,220,454,845.92/322,454.36
  6. Step 6: Final answer
    x = 453,460.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.