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Finding the Fourth Proportional to 290,514.42, 435,673.53 and 110,557.08

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Solution

The fourth proportional to 290,514.42, 435,673.53 and 110,557.08 is: 165,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,514.42 : 435,673.53 = 110,557.08 : x
  2. Step 2: Convert to fraction form
    290,514.42/435,673.53 = 110,557.08/x
  3. Step 3: Cross multiply
    290,514.42x = 435,673.53 × 110,557.08
  4. Step 4: Simplify right side
    290,514.42x = 48,166,793,310.09
  5. Step 5: Solve for x
    x = 48,166,793,310.09/290,514.42
  6. Step 6: Final answer
    x = 165,798.29

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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.