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Finding the Fourth Proportional to 465,440.55, 698,160.84 and 149,897.46

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Solution

The fourth proportional to 465,440.55, 698,160.84 and 149,897.46 is: 224,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,440.55 : 698,160.84 = 149,897.46 : x
  2. Step 2: Convert to fraction form
    465,440.55/698,160.84 = 149,897.46/x
  3. Step 3: Cross multiply
    465,440.55x = 698,160.84 × 149,897.46
  4. Step 4: Simplify right side
    465,440.55x = 104,652,537,944.64
  5. Step 5: Solve for x
    x = 104,652,537,944.64/465,440.55
  6. Step 6: Final answer
    x = 224,846.20

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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.