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Finding the Fourth Proportional to 354,684.41, 489,465.75 and 193,543.01

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Solution

The fourth proportional to 354,684.41, 489,465.75 and 193,543.01 is: 267,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,684.41 : 489,465.75 = 193,543.01 : x
  2. Step 2: Convert to fraction form
    354,684.41/489,465.75 = 193,543.01/x
  3. Step 3: Cross multiply
    354,684.41x = 489,465.75 × 193,543.01
  4. Step 4: Simplify right side
    354,684.41x = 94,732,674,546.91
  5. Step 5: Solve for x
    x = 94,732,674,546.91/354,684.41
  6. Step 6: Final answer
    x = 267,090.04

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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.