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Finding the Fourth Proportional to 288,230.61, 433,002 and 208,514.46

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Solution

The fourth proportional to 288,230.61, 433,002 and 208,514.46 is: 313,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,230.61 : 433,002 = 208,514.46 : x
  2. Step 2: Convert to fraction form
    288,230.61/433,002 = 208,514.46/x
  3. Step 3: Cross multiply
    288,230.61x = 433,002 × 208,514.46
  4. Step 4: Simplify right side
    288,230.61x = 90,287,178,208.92
  5. Step 5: Solve for x
    x = 90,287,178,208.92/288,230.61
  6. Step 6: Final answer
    x = 313,246.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.