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Finding the Fourth Proportional to 465,436.86, 698,264.64 and 149,881.92

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Solution

The fourth proportional to 465,436.86, 698,264.64 and 149,881.92 is: 224,858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,436.86 : 698,264.64 = 149,881.92 : x
  2. Step 2: Convert to fraction form
    465,436.86/698,264.64 = 149,881.92/x
  3. Step 3: Cross multiply
    465,436.86x = 698,264.64 × 149,881.92
  4. Step 4: Simplify right side
    465,436.86x = 104,657,244,911.31
  5. Step 5: Solve for x
    x = 104,657,244,911.31/465,436.86
  6. Step 6: Final answer
    x = 224,858.09

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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.