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Finding the Fourth Proportional to 310,056.40, 465,163.80 and 99,696.40

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Solution

The fourth proportional to 310,056.40, 465,163.80 and 99,696.40 is: 149,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,056.40 : 465,163.80 = 99,696.40 : x
  2. Step 2: Convert to fraction form
    310,056.40/465,163.80 = 99,696.40/x
  3. Step 3: Cross multiply
    310,056.40x = 465,163.80 × 99,696.40
  4. Step 4: Simplify right side
    310,056.40x = 46,375,156,270.32
  5. Step 5: Solve for x
    x = 46,375,156,270.32/310,056.40
  6. Step 6: Final answer
    x = 149,570.07

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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.