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Finding the Fourth Proportional to 311,851.64, 430,465.92 and 184,526.96

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Solution

The fourth proportional to 311,851.64, 430,465.92 and 184,526.96 is: 254,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,851.64 : 430,465.92 = 184,526.96 : x
  2. Step 2: Convert to fraction form
    311,851.64/430,465.92 = 184,526.96/x
  3. Step 3: Cross multiply
    311,851.64x = 430,465.92 × 184,526.96
  4. Step 4: Simplify right side
    311,851.64x = 79,432,567,601.20
  5. Step 5: Solve for x
    x = 79,432,567,601.20/311,851.64
  6. Step 6: Final answer
    x = 254,712.68

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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.