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Finding the Fourth Proportional to 462,447.35, 638,095.70 and 258,433.05

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Solution

The fourth proportional to 462,447.35, 638,095.70 and 258,433.05 is: 356,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,447.35 : 638,095.70 = 258,433.05 : x
  2. Step 2: Convert to fraction form
    462,447.35/638,095.70 = 258,433.05/x
  3. Step 3: Cross multiply
    462,447.35x = 638,095.70 × 258,433.05
  4. Step 4: Simplify right side
    462,447.35x = 164,905,016,650.72
  5. Step 5: Solve for x
    x = 164,905,016,650.72/462,447.35
  6. Step 6: Final answer
    x = 356,591.98

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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.