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Finding the Fourth Proportional to 295,824.40, 443,477.40 and 177,542.80

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Solution

The fourth proportional to 295,824.40, 443,477.40 and 177,542.80 is: 266,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,824.40 : 443,477.40 = 177,542.80 : x
  2. Step 2: Convert to fraction form
    295,824.40/443,477.40 = 177,542.80/x
  3. Step 3: Cross multiply
    295,824.40x = 443,477.40 × 177,542.80
  4. Step 4: Simplify right side
    295,824.40x = 78,736,219,332.72
  5. Step 5: Solve for x
    x = 78,736,219,332.72/295,824.40
  6. Step 6: Final answer
    x = 266,158.64

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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.