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Finding the Fourth Proportional to 310,627.80, 465,947.52 and 97,390.98

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Solution

The fourth proportional to 310,627.80, 465,947.52 and 97,390.98 is: 146,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,627.80 : 465,947.52 = 97,390.98 : x
  2. Step 2: Convert to fraction form
    310,627.80/465,947.52 = 97,390.98/x
  3. Step 3: Cross multiply
    310,627.80x = 465,947.52 × 97,390.98
  4. Step 4: Simplify right side
    310,627.80x = 45,379,085,601.37
  5. Step 5: Solve for x
    x = 45,379,085,601.37/310,627.80
  6. Step 6: Final answer
    x = 146,088.29

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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.