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Finding the Fourth Proportional to 364,407.84, 546,717.52 and 151,136.64

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Solution

The fourth proportional to 364,407.84, 546,717.52 and 151,136.64 is: 226,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,407.84 : 546,717.52 = 151,136.64 : x
  2. Step 2: Convert to fraction form
    364,407.84/546,717.52 = 151,136.64/x
  3. Step 3: Cross multiply
    364,407.84x = 546,717.52 × 151,136.64
  4. Step 4: Simplify right side
    364,407.84x = 82,629,049,001.93
  5. Step 5: Solve for x
    x = 82,629,049,001.93/364,407.84
  6. Step 6: Final answer
    x = 226,748.82

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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.