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Finding the Fourth Proportional to 364,700.97, 547,247.88 and 177,712.47

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Solution

The fourth proportional to 364,700.97, 547,247.88 and 177,712.47 is: 266,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,700.97 : 547,247.88 = 177,712.47 : x
  2. Step 2: Convert to fraction form
    364,700.97/547,247.88 = 177,712.47/x
  3. Step 3: Cross multiply
    364,700.97x = 547,247.88 × 177,712.47
  4. Step 4: Simplify right side
    364,700.97x = 97,252,772,457.06
  5. Step 5: Solve for x
    x = 97,252,772,457.06/364,700.97
  6. Step 6: Final answer
    x = 266,664.42

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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.