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Finding the Fourth Proportional to 314,339.89, 471,225.54 and 114,613.56

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Solution

The fourth proportional to 314,339.89, 471,225.54 and 114,613.56 is: 171,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,339.89 : 471,225.54 = 114,613.56 : x
  2. Step 2: Convert to fraction form
    314,339.89/471,225.54 = 114,613.56/x
  3. Step 3: Cross multiply
    314,339.89x = 471,225.54 × 114,613.56
  4. Step 4: Simplify right side
    314,339.89x = 54,008,838,469.42
  5. Step 5: Solve for x
    x = 54,008,838,469.42/314,339.89
  6. Step 6: Final answer
    x = 171,816.69

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1.5x scale

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.