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Finding the Fourth Proportional to 322,307.46, 444,641.22 and 214,772.76

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Solution

The fourth proportional to 322,307.46, 444,641.22 and 214,772.76 is: 296,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,307.46 : 444,641.22 = 214,772.76 : x
  2. Step 2: Convert to fraction form
    322,307.46/444,641.22 = 214,772.76/x
  3. Step 3: Cross multiply
    322,307.46x = 444,641.22 × 214,772.76
  4. Step 4: Simplify right side
    322,307.46x = 95,496,822,029.17
  5. Step 5: Solve for x
    x = 95,496,822,029.17/322,307.46
  6. Step 6: Final answer
    x = 296,291.07

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1.5x scale

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.