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Finding the Fourth Proportional to 412,041.87, 617,563.71 and 174,886.56

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Solution

The fourth proportional to 412,041.87, 617,563.71 and 174,886.56 is: 262,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,041.87 : 617,563.71 = 174,886.56 : x
  2. Step 2: Convert to fraction form
    412,041.87/617,563.71 = 174,886.56/x
  3. Step 3: Cross multiply
    412,041.87x = 617,563.71 × 174,886.56
  4. Step 4: Simplify right side
    412,041.87x = 108,003,592,822.74
  5. Step 5: Solve for x
    x = 108,003,592,822.74/412,041.87
  6. Step 6: Final answer
    x = 262,118.00

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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.