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Finding the Fourth Proportional to 382,366.77, 573,214.82 and 145,551.93

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Solution

The fourth proportional to 382,366.77, 573,214.82 and 145,551.93 is: 218,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,366.77 : 573,214.82 = 145,551.93 : x
  2. Step 2: Convert to fraction form
    382,366.77/573,214.82 = 145,551.93/x
  3. Step 3: Cross multiply
    382,366.77x = 573,214.82 × 145,551.93
  4. Step 4: Simplify right side
    382,366.77x = 83,432,522,627.84
  5. Step 5: Solve for x
    x = 83,432,522,627.84/382,366.77
  6. Step 6: Final answer
    x = 218,200.24

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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.