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Finding the Fourth Proportional to 445,090.01, 665,727.53 and 412,783.16

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Solution

The fourth proportional to 445,090.01, 665,727.53 and 412,783.16 is: 617,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,090.01 : 665,727.53 = 412,783.16 : x
  2. Step 2: Convert to fraction form
    445,090.01/665,727.53 = 412,783.16/x
  3. Step 3: Cross multiply
    445,090.01x = 665,727.53 × 412,783.16
  4. Step 4: Simplify right side
    445,090.01x = 274,801,108,139.84
  5. Step 5: Solve for x
    x = 274,801,108,139.84/445,090.01
  6. Step 6: Final answer
    x = 617,405.70

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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.