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Finding the Fourth Proportional to 289,025.40, 433,538.10 and 164,609.40

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Solution

The fourth proportional to 289,025.40, 433,538.10 and 164,609.40 is: 246,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,025.40 : 433,538.10 = 164,609.40 : x
  2. Step 2: Convert to fraction form
    289,025.40/433,538.10 = 164,609.40/x
  3. Step 3: Cross multiply
    289,025.40x = 433,538.10 × 164,609.40
  4. Step 4: Simplify right side
    289,025.40x = 71,364,446,518.14
  5. Step 5: Solve for x
    x = 71,364,446,518.14/289,025.40
  6. Step 6: Final answer
    x = 246,914.10

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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.