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Finding the Fourth Proportional to 393,414.66, 589,125.47 and 243,946.88

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Solution

The fourth proportional to 393,414.66, 589,125.47 and 243,946.88 is: 365,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,414.66 : 589,125.47 = 243,946.88 : x
  2. Step 2: Convert to fraction form
    393,414.66/589,125.47 = 243,946.88/x
  3. Step 3: Cross multiply
    393,414.66x = 589,125.47 × 243,946.88
  4. Step 4: Simplify right side
    393,414.66x = 143,715,316,169.67
  5. Step 5: Solve for x
    x = 143,715,316,169.67/393,414.66
  6. Step 6: Final answer
    x = 365,302.39

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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.