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Finding the Fourth Proportional to 471,858.60, 707,827.98 and 416,352.54

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Solution

The fourth proportional to 471,858.60, 707,827.98 and 416,352.54 is: 624,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,858.60 : 707,827.98 = 416,352.54 : x
  2. Step 2: Convert to fraction form
    471,858.60/707,827.98 = 416,352.54/x
  3. Step 3: Cross multiply
    471,858.60x = 707,827.98 × 416,352.54
  4. Step 4: Simplify right side
    471,858.60x = 294,705,977,356.07
  5. Step 5: Solve for x
    x = 294,705,977,356.07/471,858.60
  6. Step 6: Final answer
    x = 624,564.18

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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.