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Finding the Fourth Proportional to 291,784.52, 402,665.71 and 164,460.11

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Solution

The fourth proportional to 291,784.52, 402,665.71 and 164,460.11 is: 226,956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,784.52 : 402,665.71 = 164,460.11 : x
  2. Step 2: Convert to fraction form
    291,784.52/402,665.71 = 164,460.11/x
  3. Step 3: Cross multiply
    291,784.52x = 402,665.71 × 164,460.11
  4. Step 4: Simplify right side
    291,784.52x = 66,222,447,778.66
  5. Step 5: Solve for x
    x = 66,222,447,778.66/291,784.52
  6. Step 6: Final answer
    x = 226,956.69

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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.