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Finding the Fourth Proportional to 377,120.84, 565,739.58 and 234,857.30

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Solution

The fourth proportional to 377,120.84, 565,739.58 and 234,857.30 is: 352,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,120.84 : 565,739.58 = 234,857.30 : x
  2. Step 2: Convert to fraction form
    377,120.84/565,739.58 = 234,857.30/x
  3. Step 3: Cross multiply
    377,120.84x = 565,739.58 × 234,857.30
  4. Step 4: Simplify right side
    377,120.84x = 132,868,070,261.93
  5. Step 5: Solve for x
    x = 132,868,070,261.93/377,120.84
  6. Step 6: Final answer
    x = 352,322.27

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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.