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Finding the Fourth Proportional to 644,671.76, 967,006.58 and 171,357.12

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Solution

The fourth proportional to 644,671.76, 967,006.58 and 171,357.12 is: 257,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,671.76 : 967,006.58 = 171,357.12 : x
  2. Step 2: Convert to fraction form
    644,671.76/967,006.58 = 171,357.12/x
  3. Step 3: Cross multiply
    644,671.76x = 967,006.58 × 171,357.12
  4. Step 4: Simplify right side
    644,671.76x = 165,703,461,713.06
  5. Step 5: Solve for x
    x = 165,703,461,713.06/644,671.76
  6. Step 6: Final answer
    x = 257,035.40

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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.