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Finding the Fourth Proportional to 304,564.80, 455,972.40 and 186,466.80

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Solution

The fourth proportional to 304,564.80, 455,972.40 and 186,466.80 is: 279,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,564.80 : 455,972.40 = 186,466.80 : x
  2. Step 2: Convert to fraction form
    304,564.80/455,972.40 = 186,466.80/x
  3. Step 3: Cross multiply
    304,564.80x = 455,972.40 × 186,466.80
  4. Step 4: Simplify right side
    304,564.80x = 85,023,714,316.32
  5. Step 5: Solve for x
    x = 85,023,714,316.32/304,564.80
  6. Step 6: Final answer
    x = 279,164.61

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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.