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Finding the Fourth Proportional to 310,286.03, 465,455.76 and 85,646.50

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Solution

The fourth proportional to 310,286.03, 465,455.76 and 85,646.50 is: 128,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,286.03 : 465,455.76 = 85,646.50 : x
  2. Step 2: Convert to fraction form
    310,286.03/465,455.76 = 85,646.50/x
  3. Step 3: Cross multiply
    310,286.03x = 465,455.76 × 85,646.50
  4. Step 4: Simplify right side
    310,286.03x = 39,864,657,491.25
  5. Step 5: Solve for x
    x = 39,864,657,491.25/310,286.03
  6. Step 6: Final answer
    x = 128,477.13

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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.