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Finding the Fourth Proportional to 289,244.16, 433,958.40 and 230,307.84

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Solution

The fourth proportional to 289,244.16, 433,958.40 and 230,307.84 is: 345,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,244.16 : 433,958.40 = 230,307.84 : x
  2. Step 2: Convert to fraction form
    289,244.16/433,958.40 = 230,307.84/x
  3. Step 3: Cross multiply
    289,244.16x = 433,958.40 × 230,307.84
  4. Step 4: Simplify right side
    289,244.16x = 99,944,021,753.86
  5. Step 5: Solve for x
    x = 99,944,021,753.86/289,244.16
  6. Step 6: Final answer
    x = 345,535.14

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1.5x scale

Why These Related Problems?

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