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Finding the Fourth Proportional to 296,932, 444,282 and 208,358.32

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Solution

The fourth proportional to 296,932, 444,282 and 208,358.32 is: 311,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,932 : 444,282 = 208,358.32 : x
  2. Step 2: Convert to fraction form
    296,932/444,282 = 208,358.32/x
  3. Step 3: Cross multiply
    296,932x = 444,282 × 208,358.32
  4. Step 4: Simplify right side
    296,932x = 92,569,851,126.24
  5. Step 5: Solve for x
    x = 92,569,851,126.24/296,932
  6. Step 6: Final answer
    x = 311,754.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.