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Finding the Fourth Proportional to 292,564.67, 403,767.88 and 177,834.65

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Solution

The fourth proportional to 292,564.67, 403,767.88 and 177,834.65 is: 245,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,564.67 : 403,767.88 = 177,834.65 : x
  2. Step 2: Convert to fraction form
    292,564.67/403,767.88 = 177,834.65/x
  3. Step 3: Cross multiply
    292,564.67x = 403,767.88 × 177,834.65
  4. Step 4: Simplify right side
    292,564.67x = 71,803,917,157.62
  5. Step 5: Solve for x
    x = 71,803,917,157.62/292,564.67
  6. Step 6: Final answer
    x = 245,429.22

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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.