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Finding the Fourth Proportional to 475,622.60, 713,433.90 and 194,995.40

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Solution

The fourth proportional to 475,622.60, 713,433.90 and 194,995.40 is: 292,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,622.60 : 713,433.90 = 194,995.40 : x
  2. Step 2: Convert to fraction form
    475,622.60/713,433.90 = 194,995.40/x
  3. Step 3: Cross multiply
    475,622.60x = 713,433.90 × 194,995.40
  4. Step 4: Simplify right side
    475,622.60x = 139,116,328,704.06
  5. Step 5: Solve for x
    x = 139,116,328,704.06/475,622.60
  6. Step 6: Final answer
    x = 292,493.10

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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.