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Finding the Fourth Proportional to 322,345.83, 483,518.16 and 85,688.49

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Solution

The fourth proportional to 322,345.83, 483,518.16 and 85,688.49 is: 128,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,345.83 : 483,518.16 = 85,688.49 : x
  2. Step 2: Convert to fraction form
    322,345.83/483,518.16 = 85,688.49/x
  3. Step 3: Cross multiply
    322,345.83x = 483,518.16 × 85,688.49
  4. Step 4: Simplify right side
    322,345.83x = 41,431,941,017.98
  5. Step 5: Solve for x
    x = 41,431,941,017.98/322,345.83
  6. Step 6: Final answer
    x = 128,532.58

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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.