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Finding the Fourth Proportional to 501,563.60, 751,470.56 and 417,861.44

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Solution

The fourth proportional to 501,563.60, 751,470.56 and 417,861.44 is: 626,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,563.60 : 751,470.56 = 417,861.44 : x
  2. Step 2: Convert to fraction form
    501,563.60/751,470.56 = 417,861.44/x
  3. Step 3: Cross multiply
    501,563.60x = 751,470.56 × 417,861.44
  4. Step 4: Simplify right side
    501,563.60x = 314,010,570,319.21
  5. Step 5: Solve for x
    x = 314,010,570,319.21/501,563.60
  6. Step 6: Final answer
    x = 626,063.32

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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.