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Finding the Fourth Proportional to 291,497.52, 402,256.08 and 164,184.96

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Solution

The fourth proportional to 291,497.52, 402,256.08 and 164,184.96 is: 226,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,497.52 : 402,256.08 = 164,184.96 : x
  2. Step 2: Convert to fraction form
    291,497.52/402,256.08 = 164,184.96/x
  3. Step 3: Cross multiply
    291,497.52x = 402,256.08 × 164,184.96
  4. Step 4: Simplify right side
    291,497.52x = 66,044,398,404.56
  5. Step 5: Solve for x
    x = 66,044,398,404.56/291,497.52
  6. Step 6: Final answer
    x = 226,569.33

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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.