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Finding the Fourth Proportional to 346,202, 477,758.76 and 187,226

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Solution

The fourth proportional to 346,202, 477,758.76 and 187,226 is: 258,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,202 : 477,758.76 = 187,226 : x
  2. Step 2: Convert to fraction form
    346,202/477,758.76 = 187,226/x
  3. Step 3: Cross multiply
    346,202x = 477,758.76 × 187,226
  4. Step 4: Simplify right side
    346,202x = 89,448,861,599.76
  5. Step 5: Solve for x
    x = 89,448,861,599.76/346,202
  6. Step 6: Final answer
    x = 258,371.88

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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.