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Finding the Fourth Proportional to 310,477.28, 465,896.61 and 130,549.68

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Solution

The fourth proportional to 310,477.28, 465,896.61 and 130,549.68 is: 195,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,477.28 : 465,896.61 = 130,549.68 : x
  2. Step 2: Convert to fraction form
    310,477.28/465,896.61 = 130,549.68/x
  3. Step 3: Cross multiply
    310,477.28x = 465,896.61 × 130,549.68
  4. Step 4: Simplify right side
    310,477.28x = 60,822,653,348.58
  5. Step 5: Solve for x
    x = 60,822,653,348.58/310,477.28
  6. Step 6: Final answer
    x = 195,900.50

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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.