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Finding the Fourth Proportional to 462,932, 638,850 and 250,964

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Solution

The fourth proportional to 462,932, 638,850 and 250,964 is: 346,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,932 : 638,850 = 250,964 : x
  2. Step 2: Convert to fraction form
    462,932/638,850 = 250,964/x
  3. Step 3: Cross multiply
    462,932x = 638,850 × 250,964
  4. Step 4: Simplify right side
    462,932x = 160,328,351,400
  5. Step 5: Solve for x
    x = 160,328,351,400/462,932
  6. Step 6: Final answer
    x = 346,332.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.