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Finding the Fourth Proportional to 289,016.30, 433,524.45 and 164,600.30

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Solution

The fourth proportional to 289,016.30, 433,524.45 and 164,600.30 is: 246,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,016.30 : 433,524.45 = 164,600.30 : x
  2. Step 2: Convert to fraction form
    289,016.30/433,524.45 = 164,600.30/x
  3. Step 3: Cross multiply
    289,016.30x = 433,524.45 × 164,600.30
  4. Step 4: Simplify right side
    289,016.30x = 71,358,254,527.34
  5. Step 5: Solve for x
    x = 71,358,254,527.34/289,016.30
  6. Step 6: Final answer
    x = 246,900.45

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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.