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Finding the Fourth Proportional to 377,682.56, 566,328.60 and 111,409.08

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Solution

The fourth proportional to 377,682.56, 566,328.60 and 111,409.08 is: 167,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,682.56 : 566,328.60 = 111,409.08 : x
  2. Step 2: Convert to fraction form
    377,682.56/566,328.60 = 111,409.08/x
  3. Step 3: Cross multiply
    377,682.56x = 566,328.60 × 111,409.08
  4. Step 4: Simplify right side
    377,682.56x = 63,094,148,303.69
  5. Step 5: Solve for x
    x = 63,094,148,303.69/377,682.56
  6. Step 6: Final answer
    x = 167,056.03

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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.