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Finding the Fourth Proportional to 475,053.41, 712,645.73 and 159,600.53

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Solution

The fourth proportional to 475,053.41, 712,645.73 and 159,600.53 is: 239,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,053.41 : 712,645.73 = 159,600.53 : x
  2. Step 2: Convert to fraction form
    475,053.41/712,645.73 = 159,600.53/x
  3. Step 3: Cross multiply
    475,053.41x = 712,645.73 × 159,600.53
  4. Step 4: Simplify right side
    475,053.41x = 113,738,636,210.24
  5. Step 5: Solve for x
    x = 113,738,636,210.24/475,053.41
  6. Step 6: Final answer
    x = 239,422.84

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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.