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Finding the Fourth Proportional to 475,232.16, 712,401.76 and 159,467.60

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Solution

The fourth proportional to 475,232.16, 712,401.76 and 159,467.60 is: 239,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,232.16 : 712,401.76 = 159,467.60 : x
  2. Step 2: Convert to fraction form
    475,232.16/712,401.76 = 159,467.60/x
  3. Step 3: Cross multiply
    475,232.16x = 712,401.76 × 159,467.60
  4. Step 4: Simplify right side
    475,232.16x = 113,604,998,902.98
  5. Step 5: Solve for x
    x = 113,604,998,902.98/475,232.16
  6. Step 6: Final answer
    x = 239,051.58

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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.