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Finding the Fourth Proportional to 289,488.36, 433,590.94 and 222,434.92

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Solution

The fourth proportional to 289,488.36, 433,590.94 and 222,434.92 is: 333,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,488.36 : 433,590.94 = 222,434.92 : x
  2. Step 2: Convert to fraction form
    289,488.36/433,590.94 = 222,434.92/x
  3. Step 3: Cross multiply
    289,488.36x = 433,590.94 × 222,434.92
  4. Step 4: Simplify right side
    289,488.36x = 96,445,766,051.62
  5. Step 5: Solve for x
    x = 96,445,766,051.62/289,488.36
  6. Step 6: Final answer
    x = 333,159.39

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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.