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Finding the Fourth Proportional to 448,603.91, 672,973.19 and 144,896.64

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Solution

The fourth proportional to 448,603.91, 672,973.19 and 144,896.64 is: 217,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,603.91 : 672,973.19 = 144,896.64 : x
  2. Step 2: Convert to fraction form
    448,603.91/672,973.19 = 144,896.64/x
  3. Step 3: Cross multiply
    448,603.91x = 672,973.19 × 144,896.64
  4. Step 4: Simplify right side
    448,603.91x = 97,511,554,041.08
  5. Step 5: Solve for x
    x = 97,511,554,041.08/448,603.91
  6. Step 6: Final answer
    x = 217,366.71

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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.