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Finding the Fourth Proportional to 475,006.32, 712,443.24 and 119,998.32

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Solution

The fourth proportional to 475,006.32, 712,443.24 and 119,998.32 is: 179,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,006.32 : 712,443.24 = 119,998.32 : x
  2. Step 2: Convert to fraction form
    475,006.32/712,443.24 = 119,998.32/x
  3. Step 3: Cross multiply
    475,006.32x = 712,443.24 × 119,998.32
  4. Step 4: Simplify right side
    475,006.32x = 85,491,991,895.36
  5. Step 5: Solve for x
    x = 85,491,991,895.36/475,006.32
  6. Step 6: Final answer
    x = 179,980.75

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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.