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Finding the Fourth Proportional to 408,714.31, 613,064.31 and 183,915.64

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Solution

The fourth proportional to 408,714.31, 613,064.31 and 183,915.64 is: 275,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,714.31 : 613,064.31 = 183,915.64 : x
  2. Step 2: Convert to fraction form
    408,714.31/613,064.31 = 183,915.64/x
  3. Step 3: Cross multiply
    408,714.31x = 613,064.31 × 183,915.64
  4. Step 4: Simplify right side
    408,714.31x = 112,752,114,934.81
  5. Step 5: Solve for x
    x = 112,752,114,934.81/408,714.31
  6. Step 6: Final answer
    x = 275,870.24

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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.