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Finding the Fourth Proportional to 413,937, 571,233.78 and 235,089

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Solution

The fourth proportional to 413,937, 571,233.78 and 235,089 is: 324,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,937 : 571,233.78 = 235,089 : x
  2. Step 2: Convert to fraction form
    413,937/571,233.78 = 235,089/x
  3. Step 3: Cross multiply
    413,937x = 571,233.78 × 235,089
  4. Step 4: Simplify right side
    413,937x = 134,290,778,106.42
  5. Step 5: Solve for x
    x = 134,290,778,106.42/413,937
  6. Step 6: Final answer
    x = 324,423.23

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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.