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Finding the Fourth Proportional to 605,830.60, 836,012.10 and 333,897.66

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Solution

The fourth proportional to 605,830.60, 836,012.10 and 333,897.66 is: 460,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,830.60 : 836,012.10 = 333,897.66 : x
  2. Step 2: Convert to fraction form
    605,830.60/836,012.10 = 333,897.66/x
  3. Step 3: Cross multiply
    605,830.60x = 836,012.10 × 333,897.66
  4. Step 4: Simplify right side
    605,830.60x = 279,142,483,921.69
  5. Step 5: Solve for x
    x = 279,142,483,921.69/605,830.60
  6. Step 6: Final answer
    x = 460,759.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.