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Finding the Fourth Proportional to 610,656.44, 914,759.93 and 311,124.92

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Solution

The fourth proportional to 610,656.44, 914,759.93 and 311,124.92 is: 466,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,656.44 : 914,759.93 = 311,124.92 : x
  2. Step 2: Convert to fraction form
    610,656.44/914,759.93 = 311,124.92/x
  3. Step 3: Cross multiply
    610,656.44x = 914,759.93 × 311,124.92
  4. Step 4: Simplify right side
    610,656.44x = 284,604,606,244.47
  5. Step 5: Solve for x
    x = 284,604,606,244.47/610,656.44
  6. Step 6: Final answer
    x = 466,063.39

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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.