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Finding the Fourth Proportional to 413,950.04, 620,405.66 and 177,014.12

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Solution

The fourth proportional to 413,950.04, 620,405.66 and 177,014.12 is: 265,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,950.04 : 620,405.66 = 177,014.12 : x
  2. Step 2: Convert to fraction form
    413,950.04/620,405.66 = 177,014.12/x
  3. Step 3: Cross multiply
    413,950.04x = 620,405.66 × 177,014.12
  4. Step 4: Simplify right side
    413,950.04x = 109,820,561,947.92
  5. Step 5: Solve for x
    x = 109,820,561,947.92/413,950.04
  6. Step 6: Final answer
    x = 265,299.07

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1.5x scale

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.