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Finding the Fourth Proportional to 291,909.17, 402,825.52 and 164,582.93

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Solution

The fourth proportional to 291,909.17, 402,825.52 and 164,582.93 is: 227,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,909.17 : 402,825.52 = 164,582.93 : x
  2. Step 2: Convert to fraction form
    291,909.17/402,825.52 = 164,582.93/x
  3. Step 3: Cross multiply
    291,909.17x = 402,825.52 × 164,582.93
  4. Step 4: Simplify right side
    291,909.17x = 66,298,204,360.37
  5. Step 5: Solve for x
    x = 66,298,204,360.37/291,909.17
  6. Step 6: Final answer
    x = 227,119.29

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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.