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Finding the Fourth Proportional to 304,078.80, 456,118.20 and 234,094.80

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Solution

The fourth proportional to 304,078.80, 456,118.20 and 234,094.80 is: 351,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,078.80 : 456,118.20 = 234,094.80 : x
  2. Step 2: Convert to fraction form
    304,078.80/456,118.20 = 234,094.80/x
  3. Step 3: Cross multiply
    304,078.80x = 456,118.20 × 234,094.80
  4. Step 4: Simplify right side
    304,078.80x = 106,774,898,805.36
  5. Step 5: Solve for x
    x = 106,774,898,805.36/304,078.80
  6. Step 6: Final answer
    x = 351,142.20

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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.