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Finding the Fourth Proportional to 346,131.84, 477,668.16 and 202,995.12

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Solution

The fourth proportional to 346,131.84, 477,668.16 and 202,995.12 is: 280,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,131.84 : 477,668.16 = 202,995.12 : x
  2. Step 2: Convert to fraction form
    346,131.84/477,668.16 = 202,995.12/x
  3. Step 3: Cross multiply
    346,131.84x = 477,668.16 × 202,995.12
  4. Step 4: Simplify right side
    346,131.84x = 96,964,305,459.38
  5. Step 5: Solve for x
    x = 96,964,305,459.38/346,131.84
  6. Step 6: Final answer
    x = 280,136.91

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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.