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Finding the Fourth Proportional to 295,894.04, 443,952.80 and 177,647.80

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Solution

The fourth proportional to 295,894.04, 443,952.80 and 177,647.80 is: 266,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,894.04 : 443,952.80 = 177,647.80 : x
  2. Step 2: Convert to fraction form
    295,894.04/443,952.80 = 177,647.80/x
  3. Step 3: Cross multiply
    295,894.04x = 443,952.80 × 177,647.80
  4. Step 4: Simplify right side
    295,894.04x = 78,867,238,223.84
  5. Step 5: Solve for x
    x = 78,867,238,223.84/295,894.04
  6. Step 6: Final answer
    x = 266,538.79

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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.