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Finding the Fourth Proportional to 335,875.46, 463,480.11 and 198,032.49

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Solution

The fourth proportional to 335,875.46, 463,480.11 and 198,032.49 is: 273,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,875.46 : 463,480.11 = 198,032.49 : x
  2. Step 2: Convert to fraction form
    335,875.46/463,480.11 = 198,032.49/x
  3. Step 3: Cross multiply
    335,875.46x = 463,480.11 × 198,032.49
  4. Step 4: Simplify right side
    335,875.46x = 91,784,120,248.77
  5. Step 5: Solve for x
    x = 91,784,120,248.77/335,875.46
  6. Step 6: Final answer
    x = 273,268.32

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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.