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Finding the Fourth Proportional to 293,294, 404,746.08 and 159,158

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Solution

The fourth proportional to 293,294, 404,746.08 and 159,158 is: 219,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,294 : 404,746.08 = 159,158 : x
  2. Step 2: Convert to fraction form
    293,294/404,746.08 = 159,158/x
  3. Step 3: Cross multiply
    293,294x = 404,746.08 × 159,158
  4. Step 4: Simplify right side
    293,294x = 64,418,576,600.64
  5. Step 5: Solve for x
    x = 64,418,576,600.64/293,294
  6. Step 6: Final answer
    x = 219,638.24

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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.