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Finding the Fourth Proportional to 401,106.84, 553,542.78 and 229,052.84

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Solution

The fourth proportional to 401,106.84, 553,542.78 and 229,052.84 is: 316,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,106.84 : 553,542.78 = 229,052.84 : x
  2. Step 2: Convert to fraction form
    401,106.84/553,542.78 = 229,052.84/x
  3. Step 3: Cross multiply
    401,106.84x = 553,542.78 × 229,052.84
  4. Step 4: Simplify right side
    401,106.84x = 126,790,545,820.50
  5. Step 5: Solve for x
    x = 126,790,545,820.50/401,106.84
  6. Step 6: Final answer
    x = 316,101.68

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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.