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Finding the Fourth Proportional to 310,329.20, 465,580.20 and 152,562.80

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Solution

The fourth proportional to 310,329.20, 465,580.20 and 152,562.80 is: 228,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,329.20 : 465,580.20 = 152,562.80 : x
  2. Step 2: Convert to fraction form
    310,329.20/465,580.20 = 152,562.80/x
  3. Step 3: Cross multiply
    310,329.20x = 465,580.20 × 152,562.80
  4. Step 4: Simplify right side
    310,329.20x = 71,030,218,936.56
  5. Step 5: Solve for x
    x = 71,030,218,936.56/310,329.20
  6. Step 6: Final answer
    x = 228,886.68

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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.