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Finding the Fourth Proportional to 310,065.40, 465,098.10 and 220,835.80

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Solution

The fourth proportional to 310,065.40, 465,098.10 and 220,835.80 is: 331,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,065.40 : 465,098.10 = 220,835.80 : x
  2. Step 2: Convert to fraction form
    310,065.40/465,098.10 = 220,835.80/x
  3. Step 3: Cross multiply
    310,065.40x = 465,098.10 × 220,835.80
  4. Step 4: Simplify right side
    310,065.40x = 102,710,310,991.98
  5. Step 5: Solve for x
    x = 102,710,310,991.98/310,065.40
  6. Step 6: Final answer
    x = 331,253.70

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1.5x scale

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.