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Finding the Fourth Proportional to 377,696.34, 566,663.58 and 178,008.66

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Solution

The fourth proportional to 377,696.34, 566,663.58 and 178,008.66 is: 267,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,696.34 : 566,663.58 = 178,008.66 : x
  2. Step 2: Convert to fraction form
    377,696.34/566,663.58 = 178,008.66/x
  3. Step 3: Cross multiply
    377,696.34x = 566,663.58 × 178,008.66
  4. Step 4: Simplify right side
    377,696.34x = 100,871,024,546.60
  5. Step 5: Solve for x
    x = 100,871,024,546.60/377,696.34
  6. Step 6: Final answer
    x = 267,069.11

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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.