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Finding the Fourth Proportional to 602,344.94, 903,512.54 and 153,067.10

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Solution

The fourth proportional to 602,344.94, 903,512.54 and 153,067.10 is: 229,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,344.94 : 903,512.54 = 153,067.10 : x
  2. Step 2: Convert to fraction form
    602,344.94/903,512.54 = 153,067.10/x
  3. Step 3: Cross multiply
    602,344.94x = 903,512.54 × 153,067.10
  4. Step 4: Simplify right side
    602,344.94x = 138,298,044,311.43
  5. Step 5: Solve for x
    x = 138,298,044,311.43/602,344.94
  6. Step 6: Final answer
    x = 229,599.41

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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.