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Finding the Fourth Proportional to 665,967.12, 919,014.12 and 407,942.16

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Solution

The fourth proportional to 665,967.12, 919,014.12 and 407,942.16 is: 562,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,967.12 : 919,014.12 = 407,942.16 : x
  2. Step 2: Convert to fraction form
    665,967.12/919,014.12 = 407,942.16/x
  3. Step 3: Cross multiply
    665,967.12x = 919,014.12 × 407,942.16
  4. Step 4: Simplify right side
    665,967.12x = 374,904,605,183.30
  5. Step 5: Solve for x
    x = 374,904,605,183.30/665,967.12
  6. Step 6: Final answer
    x = 562,947.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.