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Finding the Fourth Proportional to 469,860.36, 648,294.98 and 286,096.77

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Solution

The fourth proportional to 469,860.36, 648,294.98 and 286,096.77 is: 394,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,860.36 : 648,294.98 = 286,096.77 : x
  2. Step 2: Convert to fraction form
    469,860.36/648,294.98 = 286,096.77/x
  3. Step 3: Cross multiply
    469,860.36x = 648,294.98 × 286,096.77
  4. Step 4: Simplify right side
    469,860.36x = 185,475,098,354.73
  5. Step 5: Solve for x
    x = 185,475,098,354.73/469,860.36
  6. Step 6: Final answer
    x = 394,745.15

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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.