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Finding the Fourth Proportional to 500,101.56, 690,138.81 and 270,659.30

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Solution

The fourth proportional to 500,101.56, 690,138.81 and 270,659.30 is: 373,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,101.56 : 690,138.81 = 270,659.30 : x
  2. Step 2: Convert to fraction form
    500,101.56/690,138.81 = 270,659.30/x
  3. Step 3: Cross multiply
    500,101.56x = 690,138.81 × 270,659.30
  4. Step 4: Simplify right side
    500,101.56x = 186,792,483,766.74
  5. Step 5: Solve for x
    x = 186,792,483,766.74/500,101.56
  6. Step 6: Final answer
    x = 373,509.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.