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Finding the Fourth Proportional to 400,924.90, 600,747.64 and 293,812.48

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Solution

The fourth proportional to 400,924.90, 600,747.64 and 293,812.48 is: 440,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,924.90 : 600,747.64 = 293,812.48 : x
  2. Step 2: Convert to fraction form
    400,924.90/600,747.64 = 293,812.48/x
  3. Step 3: Cross multiply
    400,924.90x = 600,747.64 × 293,812.48
  4. Step 4: Simplify right side
    400,924.90x = 176,507,153,962.55
  5. Step 5: Solve for x
    x = 176,507,153,962.55/400,924.90
  6. Step 6: Final answer
    x = 440,249.92

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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.