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Finding the Fourth Proportional to 651,644.90, 978,342.15 and 416,032.10

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Solution

The fourth proportional to 651,644.90, 978,342.15 and 416,032.10 is: 624,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,644.90 : 978,342.15 = 416,032.10 : x
  2. Step 2: Convert to fraction form
    651,644.90/978,342.15 = 416,032.10/x
  3. Step 3: Cross multiply
    651,644.90x = 978,342.15 × 416,032.10
  4. Step 4: Simplify right side
    651,644.90x = 407,021,739,183.02
  5. Step 5: Solve for x
    x = 407,021,739,183.02/651,644.90
  6. Step 6: Final answer
    x = 624,606.65

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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.