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Finding the Fourth Proportional to 664,893.52, 994,824.96 and 407,808.16

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Solution

The fourth proportional to 664,893.52, 994,824.96 and 407,808.16 is: 610,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,893.52 : 994,824.96 = 407,808.16 : x
  2. Step 2: Convert to fraction form
    664,893.52/994,824.96 = 407,808.16/x
  3. Step 3: Cross multiply
    664,893.52x = 994,824.96 × 407,808.16
  4. Step 4: Simplify right side
    664,893.52x = 405,697,736,459.67
  5. Step 5: Solve for x
    x = 405,697,736,459.67/664,893.52
  6. Step 6: Final answer
    x = 610,169.48

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1.5x scale

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.