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Finding the Fourth Proportional to 377,274.42, 566,071.65 and 177,590.37

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Solution

The fourth proportional to 377,274.42, 566,071.65 and 177,590.37 is: 266,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,274.42 : 566,071.65 = 177,590.37 : x
  2. Step 2: Convert to fraction form
    377,274.42/566,071.65 = 177,590.37/x
  3. Step 3: Cross multiply
    377,274.42x = 566,071.65 × 177,590.37
  4. Step 4: Simplify right side
    377,274.42x = 100,528,873,770.01
  5. Step 5: Solve for x
    x = 100,528,873,770.01/377,274.42
  6. Step 6: Final answer
    x = 266,460.88

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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.