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Finding the Fourth Proportional to 471,856.59, 707,824.98 and 416,350.53

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Solution

The fourth proportional to 471,856.59, 707,824.98 and 416,350.53 is: 624,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,856.59 : 707,824.98 = 416,350.53 : x
  2. Step 2: Convert to fraction form
    471,856.59/707,824.98 = 416,350.53/x
  3. Step 3: Cross multiply
    471,856.59x = 707,824.98 × 416,350.53
  4. Step 4: Simplify right side
    471,856.59x = 294,703,305,570.24
  5. Step 5: Solve for x
    x = 294,703,305,570.24/471,856.59
  6. Step 6: Final answer
    x = 624,561.17

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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.