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Finding the Fourth Proportional to 383,200.40, 528,816.71 and 222,148.82

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Solution

The fourth proportional to 383,200.40, 528,816.71 and 222,148.82 is: 306,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,200.40 : 528,816.71 = 222,148.82 : x
  2. Step 2: Convert to fraction form
    383,200.40/528,816.71 = 222,148.82/x
  3. Step 3: Cross multiply
    383,200.40x = 528,816.71 × 222,148.82
  4. Step 4: Simplify right side
    383,200.40x = 117,476,010,000.20
  5. Step 5: Solve for x
    x = 117,476,010,000.20/383,200.40
  6. Step 6: Final answer
    x = 306,565.47

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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.