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Finding the Fourth Proportional to 302,731, 417,781.74 and 168,595

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Solution

The fourth proportional to 302,731, 417,781.74 and 168,595 is: 232,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,731 : 417,781.74 = 168,595 : x
  2. Step 2: Convert to fraction form
    302,731/417,781.74 = 168,595/x
  3. Step 3: Cross multiply
    302,731x = 417,781.74 × 168,595
  4. Step 4: Simplify right side
    302,731x = 70,435,912,455.30
  5. Step 5: Solve for x
    x = 70,435,912,455.30/302,731
  6. Step 6: Final answer
    x = 232,668.32

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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.