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Finding the Fourth Proportional to 314,658.92, 471,672.36 and 101,270.02

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Solution

The fourth proportional to 314,658.92, 471,672.36 and 101,270.02 is: 151,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,658.92 : 471,672.36 = 101,270.02 : x
  2. Step 2: Convert to fraction form
    314,658.92/471,672.36 = 101,270.02/x
  3. Step 3: Cross multiply
    314,658.92x = 471,672.36 × 101,270.02
  4. Step 4: Simplify right side
    314,658.92x = 47,766,269,330.65
  5. Step 5: Solve for x
    x = 47,766,269,330.65/314,658.92
  6. Step 6: Final answer
    x = 151,803.32

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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.