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Finding the Fourth Proportional to 304,642.60, 457,094.46 and 117,785.32

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Solution

The fourth proportional to 304,642.60, 457,094.46 and 117,785.32 is: 176,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,642.60 : 457,094.46 = 117,785.32 : x
  2. Step 2: Convert to fraction form
    304,642.60/457,094.46 = 117,785.32/x
  3. Step 3: Cross multiply
    304,642.60x = 457,094.46 × 117,785.32
  4. Step 4: Simplify right side
    304,642.60x = 53,839,017,241.33
  5. Step 5: Solve for x
    x = 53,839,017,241.33/304,642.60
  6. Step 6: Final answer
    x = 176,728.46

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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.