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Finding the Fourth Proportional to 448,102.80, 672,154.20 and 282,214.80

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Solution

The fourth proportional to 448,102.80, 672,154.20 and 282,214.80 is: 423,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,102.80 : 672,154.20 = 282,214.80 : x
  2. Step 2: Convert to fraction form
    448,102.80/672,154.20 = 282,214.80/x
  3. Step 3: Cross multiply
    448,102.80x = 672,154.20 × 282,214.80
  4. Step 4: Simplify right side
    448,102.80x = 189,691,863,122.16
  5. Step 5: Solve for x
    x = 189,691,863,122.16/448,102.80
  6. Step 6: Final answer
    x = 423,322.20

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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.