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Finding the Fourth Proportional to 296,289.95, 444,355.65 and 83,045.93

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Solution

The fourth proportional to 296,289.95, 444,355.65 and 83,045.93 is: 124,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,289.95 : 444,355.65 = 83,045.93 : x
  2. Step 2: Convert to fraction form
    296,289.95/444,355.65 = 83,045.93/x
  3. Step 3: Cross multiply
    296,289.95x = 444,355.65 × 83,045.93
  4. Step 4: Simplify right side
    296,289.95x = 36,901,928,205.00
  5. Step 5: Solve for x
    x = 36,901,928,205.00/296,289.95
  6. Step 6: Final answer
    x = 124,546.68

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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.