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Finding the Fourth Proportional to 467,543.72, 645,052.74 and 266,197.16

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Solution

The fourth proportional to 467,543.72, 645,052.74 and 266,197.16 is: 367,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,543.72 : 645,052.74 = 266,197.16 : x
  2. Step 2: Convert to fraction form
    467,543.72/645,052.74 = 266,197.16/x
  3. Step 3: Cross multiply
    467,543.72x = 645,052.74 × 266,197.16
  4. Step 4: Simplify right side
    467,543.72x = 171,711,207,438.22
  5. Step 5: Solve for x
    x = 171,711,207,438.22/467,543.72
  6. Step 6: Final answer
    x = 367,262.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.