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Finding the Fourth Proportional to 288,230.17, 433,001.35 and 208,514.02

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Solution

The fourth proportional to 288,230.17, 433,001.35 and 208,514.02 is: 313,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,230.17 : 433,001.35 = 208,514.02 : x
  2. Step 2: Convert to fraction form
    288,230.17/433,001.35 = 208,514.02/x
  3. Step 3: Cross multiply
    288,230.17x = 433,001.35 × 208,514.02
  4. Step 4: Simplify right side
    288,230.17x = 90,286,849,988.92
  5. Step 5: Solve for x
    x = 90,286,849,988.92/288,230.17
  6. Step 6: Final answer
    x = 313,245.67

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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.