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Finding the Fourth Proportional to 310,307.50, 465,426.40 and 85,699.87

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Solution

The fourth proportional to 310,307.50, 465,426.40 and 85,699.87 is: 128,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,307.50 : 465,426.40 = 85,699.87 : x
  2. Step 2: Convert to fraction form
    310,307.50/465,426.40 = 85,699.87/x
  3. Step 3: Cross multiply
    310,307.50x = 465,426.40 × 85,699.87
  4. Step 4: Simplify right side
    310,307.50x = 39,886,980,757.44
  5. Step 5: Solve for x
    x = 39,886,980,757.44/310,307.50
  6. Step 6: Final answer
    x = 128,540.18

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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.