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Finding the Fourth Proportional to 474,086.21, 711,130 and 193,603.46

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Solution

The fourth proportional to 474,086.21, 711,130 and 193,603.46 is: 290,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,086.21 : 711,130 = 193,603.46 : x
  2. Step 2: Convert to fraction form
    474,086.21/711,130 = 193,603.46/x
  3. Step 3: Cross multiply
    474,086.21x = 711,130 × 193,603.46
  4. Step 4: Simplify right side
    474,086.21x = 137,677,228,509.80
  5. Step 5: Solve for x
    x = 137,677,228,509.80/474,086.21
  6. Step 6: Final answer
    x = 290,405.47

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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.