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Finding the Fourth Proportional to 355,198.47, 532,816.16 and 177,645.49

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Solution

The fourth proportional to 355,198.47, 532,816.16 and 177,645.49 is: 266,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,198.47 : 532,816.16 = 177,645.49 : x
  2. Step 2: Convert to fraction form
    355,198.47/532,816.16 = 177,645.49/x
  3. Step 3: Cross multiply
    355,198.47x = 532,816.16 × 177,645.49
  4. Step 4: Simplify right side
    355,198.47x = 94,652,387,823.12
  5. Step 5: Solve for x
    x = 94,652,387,823.12/355,198.47
  6. Step 6: Final answer
    x = 266,477.46

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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.