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Finding the Fourth Proportional to 314,337.22, 471,510.72 and 174,981.58

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Solution

The fourth proportional to 314,337.22, 471,510.72 and 174,981.58 is: 262,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,337.22 : 471,510.72 = 174,981.58 : x
  2. Step 2: Convert to fraction form
    314,337.22/471,510.72 = 174,981.58/x
  3. Step 3: Cross multiply
    314,337.22x = 471,510.72 × 174,981.58
  4. Step 4: Simplify right side
    314,337.22x = 82,505,690,772.54
  5. Step 5: Solve for x
    x = 82,505,690,772.54/314,337.22
  6. Step 6: Final answer
    x = 262,475.09

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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.