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Finding the Fourth Proportional to 475,322.40, 713,091.60 and 159,811.20

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Solution

The fourth proportional to 475,322.40, 713,091.60 and 159,811.20 is: 239,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,322.40 : 713,091.60 = 159,811.20 : x
  2. Step 2: Convert to fraction form
    475,322.40/713,091.60 = 159,811.20/x
  3. Step 3: Cross multiply
    475,322.40x = 713,091.60 × 159,811.20
  4. Step 4: Simplify right side
    475,322.40x = 113,960,024,305.92
  5. Step 5: Solve for x
    x = 113,960,024,305.92/475,322.40
  6. Step 6: Final answer
    x = 239,753.11

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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.