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Finding the Fourth Proportional to 377,688.56, 566,337.60 and 111,415.12

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Solution

The fourth proportional to 377,688.56, 566,337.60 and 111,415.12 is: 167,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,688.56 : 566,337.60 = 111,415.12 : x
  2. Step 2: Convert to fraction form
    377,688.56/566,337.60 = 111,415.12/x
  3. Step 3: Cross multiply
    377,688.56x = 566,337.60 × 111,415.12
  4. Step 4: Simplify right side
    377,688.56x = 63,098,571,664.51
  5. Step 5: Solve for x
    x = 63,098,571,664.51/377,688.56
  6. Step 6: Final answer
    x = 167,065.09

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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.