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Finding the Fourth Proportional to 559,185.90, 837,949.38 and 410,716.14

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Solution

The fourth proportional to 559,185.90, 837,949.38 and 410,716.14 is: 615,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,185.90 : 837,949.38 = 410,716.14 : x
  2. Step 2: Convert to fraction form
    559,185.90/837,949.38 = 410,716.14/x
  3. Step 3: Cross multiply
    559,185.90x = 837,949.38 × 410,716.14
  4. Step 4: Simplify right side
    559,185.90x = 344,159,334,868.99
  5. Step 5: Solve for x
    x = 344,159,334,868.99/559,185.90
  6. Step 6: Final answer
    x = 615,464.97

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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.