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Finding the Fourth Proportional to 310,000.50, 465,005.07 and 88,384.50

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Solution

The fourth proportional to 310,000.50, 465,005.07 and 88,384.50 is: 132,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,000.50 : 465,005.07 = 88,384.50 : x
  2. Step 2: Convert to fraction form
    310,000.50/465,005.07 = 88,384.50/x
  3. Step 3: Cross multiply
    310,000.50x = 465,005.07 × 88,384.50
  4. Step 4: Simplify right side
    310,000.50x = 41,099,240,609.42
  5. Step 5: Solve for x
    x = 41,099,240,609.42/310,000.50
  6. Step 6: Final answer
    x = 132,577.98

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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.