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Finding the Fourth Proportional to 475,910.18, 714,052.19 and 209,483.90

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Solution

The fourth proportional to 475,910.18, 714,052.19 and 209,483.90 is: 314,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,910.18 : 714,052.19 = 209,483.90 : x
  2. Step 2: Convert to fraction form
    475,910.18/714,052.19 = 209,483.90/x
  3. Step 3: Cross multiply
    475,910.18x = 714,052.19 × 209,483.90
  4. Step 4: Simplify right side
    475,910.18x = 149,582,437,564.74
  5. Step 5: Solve for x
    x = 149,582,437,564.74/475,910.18
  6. Step 6: Final answer
    x = 314,308.13

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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.