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Finding the Fourth Proportional to 377,783.59, 566,716.90 and 188,291.66

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Solution

The fourth proportional to 377,783.59, 566,716.90 and 188,291.66 is: 282,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,783.59 : 566,716.90 = 188,291.66 : x
  2. Step 2: Convert to fraction form
    377,783.59/566,716.90 = 188,291.66/x
  3. Step 3: Cross multiply
    377,783.59x = 566,716.90 × 188,291.66
  4. Step 4: Simplify right side
    377,783.59x = 106,708,065,851.05
  5. Step 5: Solve for x
    x = 106,708,065,851.05/377,783.59
  6. Step 6: Final answer
    x = 282,458.18

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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.