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Finding the Fourth Proportional to 310,298.48, 465,438.42 and 85,672.62

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Solution

The fourth proportional to 310,298.48, 465,438.42 and 85,672.62 is: 128,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,298.48 : 465,438.42 = 85,672.62 : x
  2. Step 2: Convert to fraction form
    310,298.48/465,438.42 = 85,672.62/x
  3. Step 3: Cross multiply
    310,298.48x = 465,438.42 × 85,672.62
  4. Step 4: Simplify right side
    310,298.48x = 39,875,328,890.06
  5. Step 5: Solve for x
    x = 39,875,328,890.06/310,298.48
  6. Step 6: Final answer
    x = 128,506.36

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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.