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Finding the Fourth Proportional to 310,009.50, 465,018.57 and 88,393.50

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Solution

The fourth proportional to 310,009.50, 465,018.57 and 88,393.50 is: 132,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,009.50 : 465,018.57 = 88,393.50 : x
  2. Step 2: Convert to fraction form
    310,009.50/465,018.57 = 88,393.50/x
  3. Step 3: Cross multiply
    310,009.50x = 465,018.57 × 88,393.50
  4. Step 4: Simplify right side
    310,009.50x = 41,104,618,967.30
  5. Step 5: Solve for x
    x = 41,104,618,967.30/310,009.50
  6. Step 6: Final answer
    x = 132,591.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.