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Finding the Fourth Proportional to 522,141.88, 782,397.71 and 362,529.16

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Solution

The fourth proportional to 522,141.88, 782,397.71 and 362,529.16 is: 543,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,141.88 : 782,397.71 = 362,529.16 : x
  2. Step 2: Convert to fraction form
    522,141.88/782,397.71 = 362,529.16/x
  3. Step 3: Cross multiply
    522,141.88x = 782,397.71 × 362,529.16
  4. Step 4: Simplify right side
    522,141.88x = 283,641,984,592.22
  5. Step 5: Solve for x
    x = 283,641,984,592.22/522,141.88
  6. Step 6: Final answer
    x = 543,227.80

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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.