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Finding the Fourth Proportional to 334,293.93, 461,259.83 and 198,302.49

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Solution

The fourth proportional to 334,293.93, 461,259.83 and 198,302.49 is: 273,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,293.93 : 461,259.83 = 198,302.49 : x
  2. Step 2: Convert to fraction form
    334,293.93/461,259.83 = 198,302.49/x
  3. Step 3: Cross multiply
    334,293.93x = 461,259.83 × 198,302.49
  4. Step 4: Simplify right side
    334,293.93x = 91,468,971,834.46
  5. Step 5: Solve for x
    x = 91,468,971,834.46/334,293.93
  6. Step 6: Final answer
    x = 273,618.40

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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.