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Finding the Fourth Proportional to 465,762.78, 698,466.85 and 305,795.95

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Solution

The fourth proportional to 465,762.78, 698,466.85 and 305,795.95 is: 458,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,762.78 : 698,466.85 = 305,795.95 : x
  2. Step 2: Convert to fraction form
    465,762.78/698,466.85 = 305,795.95/x
  3. Step 3: Cross multiply
    465,762.78x = 698,466.85 × 305,795.95
  4. Step 4: Simplify right side
    465,762.78x = 213,588,331,428.60
  5. Step 5: Solve for x
    x = 213,588,331,428.60/465,762.78
  6. Step 6: Final answer
    x = 458,577.50

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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.