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Finding the Fourth Proportional to 302,512, 417,466.56 and 168,373.12

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Solution

The fourth proportional to 302,512, 417,466.56 and 168,373.12 is: 232,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,512 : 417,466.56 = 168,373.12 : x
  2. Step 2: Convert to fraction form
    302,512/417,466.56 = 168,373.12/x
  3. Step 3: Cross multiply
    302,512x = 417,466.56 × 168,373.12
  4. Step 4: Simplify right side
    302,512x = 70,290,147,202.87
  5. Step 5: Solve for x
    x = 70,290,147,202.87/302,512
  6. Step 6: Final answer
    x = 232,354.91

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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.