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Finding the Fourth Proportional to 304,614.12, 457,023.24 and 105,072.24

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Solution

The fourth proportional to 304,614.12, 457,023.24 and 105,072.24 is: 157,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614.12 : 457,023.24 = 105,072.24 : x
  2. Step 2: Convert to fraction form
    304,614.12/457,023.24 = 105,072.24/x
  3. Step 3: Cross multiply
    304,614.12x = 457,023.24 × 105,072.24
  4. Step 4: Simplify right side
    304,614.12x = 48,020,455,558.86
  5. Step 5: Solve for x
    x = 48,020,455,558.86/304,614.12
  6. Step 6: Final answer
    x = 157,643.56

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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.