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Finding the Fourth Proportional to 401,105.84, 553,541.40 and 229,051.84

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Solution

The fourth proportional to 401,105.84, 553,541.40 and 229,051.84 is: 316,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,105.84 : 553,541.40 = 229,051.84 : x
  2. Step 2: Convert to fraction form
    401,105.84/553,541.40 = 229,051.84/x
  3. Step 3: Cross multiply
    401,105.84x = 553,541.40 × 229,051.84
  4. Step 4: Simplify right side
    401,105.84x = 126,789,676,186.18
  5. Step 5: Solve for x
    x = 126,789,676,186.18/401,105.84
  6. Step 6: Final answer
    x = 316,100.30

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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.