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Finding the Fourth Proportional to 448,364.42, 672,564.45 and 178,543.70

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Solution

The fourth proportional to 448,364.42, 672,564.45 and 178,543.70 is: 267,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,364.42 : 672,564.45 = 178,543.70 : x
  2. Step 2: Convert to fraction form
    448,364.42/672,564.45 = 178,543.70/x
  3. Step 3: Cross multiply
    448,364.42x = 672,564.45 × 178,543.70
  4. Step 4: Simplify right side
    448,364.42x = 120,082,145,391.47
  5. Step 5: Solve for x
    x = 120,082,145,391.47/448,364.42
  6. Step 6: Final answer
    x = 267,822.65

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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.