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Finding the Fourth Proportional to 354,209.25, 488,809.08 and 193,061.07

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Solution

The fourth proportional to 354,209.25, 488,809.08 and 193,061.07 is: 266,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,209.25 : 488,809.08 = 193,061.07 : x
  2. Step 2: Convert to fraction form
    354,209.25/488,809.08 = 193,061.07/x
  3. Step 3: Cross multiply
    354,209.25x = 488,809.08 × 193,061.07
  4. Step 4: Simplify right side
    354,209.25x = 94,370,004,010.52
  5. Step 5: Solve for x
    x = 94,370,004,010.52/354,209.25
  6. Step 6: Final answer
    x = 266,424.45

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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.