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Finding the Fourth Proportional to 293,454, 404,966.52 and 159,318

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Solution

The fourth proportional to 293,454, 404,966.52 and 159,318 is: 219,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,454 : 404,966.52 = 159,318 : x
  2. Step 2: Convert to fraction form
    293,454/404,966.52 = 159,318/x
  3. Step 3: Cross multiply
    293,454x = 404,966.52 × 159,318
  4. Step 4: Simplify right side
    293,454x = 64,518,456,033.36
  5. Step 5: Solve for x
    x = 64,518,456,033.36/293,454
  6. Step 6: Final answer
    x = 219,858.84

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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.