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Finding the Fourth Proportional to 296,064.62, 408,544.46 and 175,184.81

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Solution

The fourth proportional to 296,064.62, 408,544.46 and 175,184.81 is: 241,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,064.62 : 408,544.46 = 175,184.81 : x
  2. Step 2: Convert to fraction form
    296,064.62/408,544.46 = 175,184.81/x
  3. Step 3: Cross multiply
    296,064.62x = 408,544.46 × 175,184.81
  4. Step 4: Simplify right side
    296,064.62x = 71,570,782,871.99
  5. Step 5: Solve for x
    x = 71,570,782,871.99/296,064.62
  6. Step 6: Final answer
    x = 241,740.41

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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.