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Finding the Fourth Proportional to 440,243.40, 660,365.10 and 413,999.40

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Solution

The fourth proportional to 440,243.40, 660,365.10 and 413,999.40 is: 620,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,243.40 : 660,365.10 = 413,999.40 : x
  2. Step 2: Convert to fraction form
    440,243.40/660,365.10 = 413,999.40/x
  3. Step 3: Cross multiply
    440,243.40x = 660,365.10 × 413,999.40
  4. Step 4: Simplify right side
    440,243.40x = 273,390,755,180.94
  5. Step 5: Solve for x
    x = 273,390,755,180.94/440,243.40
  6. Step 6: Final answer
    x = 620,999.10

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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.