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Finding the Fourth Proportional to 328,802.60, 493,722.30 and 188,834.60

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Solution

The fourth proportional to 328,802.60, 493,722.30 and 188,834.60 is: 283,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,802.60 : 493,722.30 = 188,834.60 : x
  2. Step 2: Convert to fraction form
    328,802.60/493,722.30 = 188,834.60/x
  3. Step 3: Cross multiply
    328,802.60x = 493,722.30 × 188,834.60
  4. Step 4: Simplify right side
    328,802.60x = 93,231,853,031.58
  5. Step 5: Solve for x
    x = 93,231,853,031.58/328,802.60
  6. Step 6: Final answer
    x = 283,549.62

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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.