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Finding the Fourth Proportional to 294,590.52, 406,539.66 and 167,269.56

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Solution

The fourth proportional to 294,590.52, 406,539.66 and 167,269.56 is: 230,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,590.52 : 406,539.66 = 167,269.56 : x
  2. Step 2: Convert to fraction form
    294,590.52/406,539.66 = 167,269.56/x
  3. Step 3: Cross multiply
    294,590.52x = 406,539.66 × 167,269.56
  4. Step 4: Simplify right side
    294,590.52x = 68,001,710,050.75
  5. Step 5: Solve for x
    x = 68,001,710,050.75/294,590.52
  6. Step 6: Final answer
    x = 230,834.69

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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.