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Finding the Fourth Proportional to 312,491.61, 468,759.48 and 154,677.69

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Solution

The fourth proportional to 312,491.61, 468,759.48 and 154,677.69 is: 232,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,491.61 : 468,759.48 = 154,677.69 : x
  2. Step 2: Convert to fraction form
    312,491.61/468,759.48 = 154,677.69/x
  3. Step 3: Cross multiply
    312,491.61x = 468,759.48 × 154,677.69
  4. Step 4: Simplify right side
    312,491.61x = 72,506,633,532.00
  5. Step 5: Solve for x
    x = 72,506,633,532.00/312,491.61
  6. Step 6: Final answer
    x = 232,027.46

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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.