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Finding the Fourth Proportional to 304,328.86, 456,619.02 and 133,462.18

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Solution

The fourth proportional to 304,328.86, 456,619.02 and 133,462.18 is: 200,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,328.86 : 456,619.02 = 133,462.18 : x
  2. Step 2: Convert to fraction form
    304,328.86/456,619.02 = 133,462.18/x
  3. Step 3: Cross multiply
    304,328.86x = 456,619.02 × 133,462.18
  4. Step 4: Simplify right side
    304,328.86x = 60,941,369,838.66
  5. Step 5: Solve for x
    x = 60,941,369,838.66/304,328.86
  6. Step 6: Final answer
    x = 200,248.41

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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.