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Finding the Fourth Proportional to 553,066.39, 829,771.83 and 198,083.49

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Solution

The fourth proportional to 553,066.39, 829,771.83 and 198,083.49 is: 297,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,066.39 : 829,771.83 = 198,083.49 : x
  2. Step 2: Convert to fraction form
    553,066.39/829,771.83 = 198,083.49/x
  3. Step 3: Cross multiply
    553,066.39x = 829,771.83 × 198,083.49
  4. Step 4: Simplify right side
    553,066.39x = 164,364,094,850.81
  5. Step 5: Solve for x
    x = 164,364,094,850.81/553,066.39
  6. Step 6: Final answer
    x = 297,186.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.