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Finding the Fourth Proportional to 288,023.20, 403,647.20 and 288,023.20

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Solution

The fourth proportional to 288,023.20, 403,647.20 and 288,023.20 is: 403,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,023.20 : 403,647.20 = 288,023.20 : x
  2. Step 2: Convert to fraction form
    288,023.20/403,647.20 = 288,023.20/x
  3. Step 3: Cross multiply
    288,023.20x = 403,647.20 × 288,023.20
  4. Step 4: Simplify right side
    288,023.20x = 116,259,758,215.04
  5. Step 5: Solve for x
    x = 116,259,758,215.04/288,023.20
  6. Step 6: Final answer
    x = 403,647.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.