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Finding the Fourth Proportional to 304,055.84, 456,076.08 and 82,434.08

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Solution

The fourth proportional to 304,055.84, 456,076.08 and 82,434.08 is: 123,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,055.84 : 456,076.08 = 82,434.08 : x
  2. Step 2: Convert to fraction form
    304,055.84/456,076.08 = 82,434.08/x
  3. Step 3: Cross multiply
    304,055.84x = 456,076.08 × 82,434.08
  4. Step 4: Simplify right side
    304,055.84x = 37,596,212,064.81
  5. Step 5: Solve for x
    x = 37,596,212,064.81/304,055.84
  6. Step 6: Final answer
    x = 123,649.04

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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.