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Finding the Fourth Proportional to 310,764.71, 465,280.98 and 158,634.54

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Solution

The fourth proportional to 310,764.71, 465,280.98 and 158,634.54 is: 237,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,764.71 : 465,280.98 = 158,634.54 : x
  2. Step 2: Convert to fraction form
    310,764.71/465,280.98 = 158,634.54/x
  3. Step 3: Cross multiply
    310,764.71x = 465,280.98 × 158,634.54
  4. Step 4: Simplify right side
    310,764.71x = 73,809,632,329.57
  5. Step 5: Solve for x
    x = 73,809,632,329.57/310,764.71
  6. Step 6: Final answer
    x = 237,509.70

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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.