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Finding the Fourth Proportional to 522,140.88, 782,396.21 and 362,528.16

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Solution

The fourth proportional to 522,140.88, 782,396.21 and 362,528.16 is: 543,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,140.88 : 782,396.21 = 362,528.16 : x
  2. Step 2: Convert to fraction form
    522,140.88/782,396.21 = 362,528.16/x
  3. Step 3: Cross multiply
    522,140.88x = 782,396.21 × 362,528.16
  4. Step 4: Simplify right side
    522,140.88x = 283,640,656,374.61
  5. Step 5: Solve for x
    x = 283,640,656,374.61/522,140.88
  6. Step 6: Final answer
    x = 543,226.29

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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.