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Finding the Fourth Proportional to 553,407.39, 830,198.43 and 193,678.70

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Solution

The fourth proportional to 553,407.39, 830,198.43 and 193,678.70 is: 290,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,407.39 : 830,198.43 = 193,678.70 : x
  2. Step 2: Convert to fraction form
    553,407.39/830,198.43 = 193,678.70/x
  3. Step 3: Cross multiply
    553,407.39x = 830,198.43 × 193,678.70
  4. Step 4: Simplify right side
    553,407.39x = 160,791,748,513.45
  5. Step 5: Solve for x
    x = 160,791,748,513.45/553,407.39
  6. Step 6: Final answer
    x = 290,548.61

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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.