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Finding the Fourth Proportional to 468,000.60, 700,964.10 and 405,792.60

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Solution

The fourth proportional to 468,000.60, 700,964.10 and 405,792.60 is: 607,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,000.60 : 700,964.10 = 405,792.60 : x
  2. Step 2: Convert to fraction form
    468,000.60/700,964.10 = 405,792.60/x
  3. Step 3: Cross multiply
    468,000.60x = 700,964.10 × 405,792.60
  4. Step 4: Simplify right side
    468,000.60x = 284,446,044,645.66
  5. Step 5: Solve for x
    x = 284,446,044,645.66/468,000.60
  6. Step 6: Final answer
    x = 607,789.91

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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.