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Finding the Fourth Proportional to 566,730.77, 850,428.32 and 406,634.17

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Solution

The fourth proportional to 566,730.77, 850,428.32 and 406,634.17 is: 610,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,730.77 : 850,428.32 = 406,634.17 : x
  2. Step 2: Convert to fraction form
    566,730.77/850,428.32 = 406,634.17/x
  3. Step 3: Cross multiply
    566,730.77x = 850,428.32 × 406,634.17
  4. Step 4: Simplify right side
    566,730.77x = 345,813,213,077.56
  5. Step 5: Solve for x
    x = 345,813,213,077.56/566,730.77
  6. Step 6: Final answer
    x = 610,189.58

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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.