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Finding the Fourth Proportional to 364,001.52, 546,001.64 and 164,391.92

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Solution

The fourth proportional to 364,001.52, 546,001.64 and 164,391.92 is: 246,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,001.52 : 546,001.64 = 164,391.92 : x
  2. Step 2: Convert to fraction form
    364,001.52/546,001.64 = 164,391.92/x
  3. Step 3: Cross multiply
    364,001.52x = 546,001.64 × 164,391.92
  4. Step 4: Simplify right side
    364,001.52x = 89,758,257,922.75
  5. Step 5: Solve for x
    x = 89,758,257,922.75/364,001.52
  6. Step 6: Final answer
    x = 246,587.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.