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Finding the Fourth Proportional to 334,037.54, 460,952.24 and 198,084.51

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Solution

The fourth proportional to 334,037.54, 460,952.24 and 198,084.51 is: 273,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,037.54 : 460,952.24 = 198,084.51 : x
  2. Step 2: Convert to fraction form
    334,037.54/460,952.24 = 198,084.51/x
  3. Step 3: Cross multiply
    334,037.54x = 460,952.24 × 198,084.51
  4. Step 4: Simplify right side
    334,037.54x = 91,307,497,603.38
  5. Step 5: Solve for x
    x = 91,307,497,603.38/334,037.54
  6. Step 6: Final answer
    x = 273,345.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.