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Finding the Fourth Proportional to 465,777.70, 698,666.55 and 415,039.30

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Solution

The fourth proportional to 465,777.70, 698,666.55 and 415,039.30 is: 622,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,777.70 : 698,666.55 = 415,039.30 : x
  2. Step 2: Convert to fraction form
    465,777.70/698,666.55 = 415,039.30/x
  3. Step 3: Cross multiply
    465,777.70x = 698,666.55 × 415,039.30
  4. Step 4: Simplify right side
    465,777.70x = 289,974,075,845.42
  5. Step 5: Solve for x
    x = 289,974,075,845.42/465,777.70
  6. Step 6: Final answer
    x = 622,558.95

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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.