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Finding the Fourth Proportional to 474,086.69, 711,130.72 and 193,603.94

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Solution

The fourth proportional to 474,086.69, 711,130.72 and 193,603.94 is: 290,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,086.69 : 711,130.72 = 193,603.94 : x
  2. Step 2: Convert to fraction form
    474,086.69/711,130.72 = 193,603.94/x
  3. Step 3: Cross multiply
    474,086.69x = 711,130.72 × 193,603.94
  4. Step 4: Simplify right side
    474,086.69x = 137,677,709,247.04
  5. Step 5: Solve for x
    x = 137,677,709,247.04/474,086.69
  6. Step 6: Final answer
    x = 290,406.19

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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.