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Finding the Fourth Proportional to 400,923.40, 601,385.10 and 120,404.20

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Solution

The fourth proportional to 400,923.40, 601,385.10 and 120,404.20 is: 180,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,923.40 : 601,385.10 = 120,404.20 : x
  2. Step 2: Convert to fraction form
    400,923.40/601,385.10 = 120,404.20/x
  3. Step 3: Cross multiply
    400,923.40x = 601,385.10 × 120,404.20
  4. Step 4: Simplify right side
    400,923.40x = 72,409,291,857.42
  5. Step 5: Solve for x
    x = 72,409,291,857.42/400,923.40
  6. Step 6: Final answer
    x = 180,606.30

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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.