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Finding the Fourth Proportional to 602,683.12, 903,674.64 and 228,502

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Solution

The fourth proportional to 602,683.12, 903,674.64 and 228,502 is: 342,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,683.12 : 903,674.64 = 228,502 : x
  2. Step 2: Convert to fraction form
    602,683.12/903,674.64 = 228,502/x
  3. Step 3: Cross multiply
    602,683.12x = 903,674.64 × 228,502
  4. Step 4: Simplify right side
    602,683.12x = 206,491,462,589.28
  5. Step 5: Solve for x
    x = 206,491,462,589.28/602,683.12
  6. Step 6: Final answer
    x = 342,620.29

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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.