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Finding the Fourth Proportional to 475,960.62, 714,127.84 and 209,534.21

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Solution

The fourth proportional to 475,960.62, 714,127.84 and 209,534.21 is: 314,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,960.62 : 714,127.84 = 209,534.21 : x
  2. Step 2: Convert to fraction form
    475,960.62/714,127.84 = 209,534.21/x
  3. Step 3: Cross multiply
    475,960.62x = 714,127.84 × 209,534.21
  4. Step 4: Simplify right side
    475,960.62x = 149,634,212,793.41
  5. Step 5: Solve for x
    x = 149,634,212,793.41/475,960.62
  6. Step 6: Final answer
    x = 314,383.60

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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.