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Finding the Fourth Proportional to 290,514.72, 435,784.41 and 90,838.83

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Solution

The fourth proportional to 290,514.72, 435,784.41 and 90,838.83 is: 136,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,514.72 : 435,784.41 = 90,838.83 : x
  2. Step 2: Convert to fraction form
    290,514.72/435,784.41 = 90,838.83/x
  3. Step 3: Cross multiply
    290,514.72x = 435,784.41 × 90,838.83
  4. Step 4: Simplify right side
    290,514.72x = 39,586,145,936.64
  5. Step 5: Solve for x
    x = 39,586,145,936.64/290,514.72
  6. Step 6: Final answer
    x = 136,262.10

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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.