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Finding the Fourth Proportional to 475,392, 712,596.60 and 159,742.56

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Solution

The fourth proportional to 475,392, 712,596.60 and 159,742.56 is: 239,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,392 : 712,596.60 = 159,742.56 : x
  2. Step 2: Convert to fraction form
    475,392/712,596.60 = 159,742.56/x
  3. Step 3: Cross multiply
    475,392x = 712,596.60 × 159,742.56
  4. Step 4: Simplify right side
    475,392x = 113,832,005,131.30
  5. Step 5: Solve for x
    x = 113,832,005,131.30/475,392
  6. Step 6: Final answer
    x = 239,448.72

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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.