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Finding the Fourth Proportional to 522,708.68, 721,381.46 and 290,157.50

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Solution

The fourth proportional to 522,708.68, 721,381.46 and 290,157.50 is: 400,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,708.68 : 721,381.46 = 290,157.50 : x
  2. Step 2: Convert to fraction form
    522,708.68/721,381.46 = 290,157.50/x
  3. Step 3: Cross multiply
    522,708.68x = 721,381.46 × 290,157.50
  4. Step 4: Simplify right side
    522,708.68x = 209,314,235,922.26
  5. Step 5: Solve for x
    x = 209,314,235,922.26/522,708.68
  6. Step 6: Final answer
    x = 400,441.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.