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Finding the Fourth Proportional to 475,990.52, 714,199.01 and 259,920.32

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Solution

The fourth proportional to 475,990.52, 714,199.01 and 259,920.32 is: 389,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,990.52 : 714,199.01 = 259,920.32 : x
  2. Step 2: Convert to fraction form
    475,990.52/714,199.01 = 259,920.32/x
  3. Step 3: Cross multiply
    475,990.52x = 714,199.01 × 259,920.32
  4. Step 4: Simplify right side
    475,990.52x = 185,634,835,222.88
  5. Step 5: Solve for x
    x = 185,634,835,222.88/475,990.52
  6. Step 6: Final answer
    x = 389,996.92

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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.