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Finding the Fourth Proportional to 610,127.88, 914,582.16 and 289,716

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Solution

The fourth proportional to 610,127.88, 914,582.16 and 289,716 is: 434,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,127.88 : 914,582.16 = 289,716 : x
  2. Step 2: Convert to fraction form
    610,127.88/914,582.16 = 289,716/x
  3. Step 3: Cross multiply
    610,127.88x = 914,582.16 × 289,716
  4. Step 4: Simplify right side
    610,127.88x = 264,969,085,066.56
  5. Step 5: Solve for x
    x = 264,969,085,066.56/610,127.88
  6. Step 6: Final answer
    x = 434,284.51

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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.