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Finding the Fourth Proportional to 624,166.60, 933,917.10 and 414,214.60

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Solution

The fourth proportional to 624,166.60, 933,917.10 and 414,214.60 is: 619,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,166.60 : 933,917.10 = 414,214.60 : x
  2. Step 2: Convert to fraction form
    624,166.60/933,917.10 = 414,214.60/x
  3. Step 3: Cross multiply
    624,166.60x = 933,917.10 × 414,214.60
  4. Step 4: Simplify right side
    624,166.60x = 386,842,098,009.66
  5. Step 5: Solve for x
    x = 386,842,098,009.66/624,166.60
  6. Step 6: Final answer
    x = 619,773.79

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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.