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Finding the Fourth Proportional to 409,911.68, 610,792.56 and 365,194.80

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Solution

The fourth proportional to 409,911.68, 610,792.56 and 365,194.80 is: 544,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,911.68 : 610,792.56 = 365,194.80 : x
  2. Step 2: Convert to fraction form
    409,911.68/610,792.56 = 365,194.80/x
  3. Step 3: Cross multiply
    409,911.68x = 610,792.56 × 365,194.80
  4. Step 4: Simplify right side
    409,911.68x = 223,058,266,790.69
  5. Step 5: Solve for x
    x = 223,058,266,790.69/409,911.68
  6. Step 6: Final answer
    x = 544,161.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.