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Finding the Fourth Proportional to 304,934.32, 457,820.50 and 155,275.24

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Solution

The fourth proportional to 304,934.32, 457,820.50 and 155,275.24 is: 233,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,934.32 : 457,820.50 = 155,275.24 : x
  2. Step 2: Convert to fraction form
    304,934.32/457,820.50 = 155,275.24/x
  3. Step 3: Cross multiply
    304,934.32x = 457,820.50 × 155,275.24
  4. Step 4: Simplify right side
    304,934.32x = 71,088,188,014.42
  5. Step 5: Solve for x
    x = 71,088,188,014.42/304,934.32
  6. Step 6: Final answer
    x = 233,126.23

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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.