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Finding the Fourth Proportional to 289,498.86, 433,606.68 and 222,445.42

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Solution

The fourth proportional to 289,498.86, 433,606.68 and 222,445.42 is: 333,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,498.86 : 433,606.68 = 222,445.42 : x
  2. Step 2: Convert to fraction form
    289,498.86/433,606.68 = 222,445.42/x
  3. Step 3: Cross multiply
    289,498.86x = 433,606.68 × 222,445.42
  4. Step 4: Simplify right side
    289,498.86x = 96,453,820,047.41
  5. Step 5: Solve for x
    x = 96,453,820,047.41/289,498.86
  6. Step 6: Final answer
    x = 333,175.13

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1.5x scale

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.