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Finding the Fourth Proportional to 360,749.20, 497,744.22 and 233,271.40

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Solution

The fourth proportional to 360,749.20, 497,744.22 and 233,271.40 is: 321,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,749.20 : 497,744.22 = 233,271.40 : x
  2. Step 2: Convert to fraction form
    360,749.20/497,744.22 = 233,271.40/x
  3. Step 3: Cross multiply
    360,749.20x = 497,744.22 × 233,271.40
  4. Step 4: Simplify right side
    360,749.20x = 116,109,491,041.31
  5. Step 5: Solve for x
    x = 116,109,491,041.31/360,749.20
  6. Step 6: Final answer
    x = 321,856.54

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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.