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Finding the Fourth Proportional to 364,395, 502,654.58 and 219,099.86

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Solution

The fourth proportional to 364,395, 502,654.58 and 219,099.86 is: 302,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,395 : 502,654.58 = 219,099.86 : x
  2. Step 2: Convert to fraction form
    364,395/502,654.58 = 219,099.86/x
  3. Step 3: Cross multiply
    364,395x = 502,654.58 × 219,099.86
  4. Step 4: Simplify right side
    364,395x = 110,131,548,106.36
  5. Step 5: Solve for x
    x = 110,131,548,106.36/364,395
  6. Step 6: Final answer
    x = 302,231.23

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1.5x scale

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.