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Finding the Fourth Proportional to 471,673.86, 707,621.49 and 156,130.75

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Solution

The fourth proportional to 471,673.86, 707,621.49 and 156,130.75 is: 234,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,673.86 : 707,621.49 = 156,130.75 : x
  2. Step 2: Convert to fraction form
    471,673.86/707,621.49 = 156,130.75/x
  3. Step 3: Cross multiply
    471,673.86x = 707,621.49 × 156,130.75
  4. Step 4: Simplify right side
    471,673.86x = 110,481,473,949.82
  5. Step 5: Solve for x
    x = 110,481,473,949.82/471,673.86
  6. Step 6: Final answer
    x = 234,232.77

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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.