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Finding the Fourth Proportional to 671,842, 1,007,782.44 and 173,206

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Solution

The fourth proportional to 671,842, 1,007,782.44 and 173,206 is: 259,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,842 : 1,007,782.44 = 173,206 : x
  2. Step 2: Convert to fraction form
    671,842/1,007,782.44 = 173,206/x
  3. Step 3: Cross multiply
    671,842x = 1,007,782.44 × 173,206
  4. Step 4: Simplify right side
    671,842x = 174,553,965,302.64
  5. Step 5: Solve for x
    x = 174,553,965,302.64/671,842
  6. Step 6: Final answer
    x = 259,814.01

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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.