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Finding the Fourth Proportional to 462,654.20, 695,363.70 and 401,828.60

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Solution

The fourth proportional to 462,654.20, 695,363.70 and 401,828.60 is: 603,943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,654.20 : 695,363.70 = 401,828.60 : x
  2. Step 2: Convert to fraction form
    462,654.20/695,363.70 = 401,828.60/x
  3. Step 3: Cross multiply
    462,654.20x = 695,363.70 × 401,828.60
  4. Step 4: Simplify right side
    462,654.20x = 279,417,022,061.82
  5. Step 5: Solve for x
    x = 279,417,022,061.82/462,654.20
  6. Step 6: Final answer
    x = 603,943.55

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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.