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Finding the Fourth Proportional to 328,823.60, 493,753.80 and 188,855.60

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Solution

The fourth proportional to 328,823.60, 493,753.80 and 188,855.60 is: 283,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,823.60 : 493,753.80 = 188,855.60 : x
  2. Step 2: Convert to fraction form
    328,823.60/493,753.80 = 188,855.60/x
  3. Step 3: Cross multiply
    328,823.60x = 493,753.80 × 188,855.60
  4. Step 4: Simplify right side
    328,823.60x = 93,248,170,151.28
  5. Step 5: Solve for x
    x = 93,248,170,151.28/328,823.60
  6. Step 6: Final answer
    x = 283,581.14

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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.