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Finding the Fourth Proportional to 311,967.72, 430,496.10 and 176,023.08

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Solution

The fourth proportional to 311,967.72, 430,496.10 and 176,023.08 is: 242,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,967.72 : 430,496.10 = 176,023.08 : x
  2. Step 2: Convert to fraction form
    311,967.72/430,496.10 = 176,023.08/x
  3. Step 3: Cross multiply
    311,967.72x = 430,496.10 × 176,023.08
  4. Step 4: Simplify right side
    311,967.72x = 75,777,249,449.99
  5. Step 5: Solve for x
    x = 75,777,249,449.99/311,967.72
  6. Step 6: Final answer
    x = 242,900.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.