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Finding the Fourth Proportional to 517,479.50, 714,121.74 and 288,031.84

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Solution

The fourth proportional to 517,479.50, 714,121.74 and 288,031.84 is: 397,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,479.50 : 714,121.74 = 288,031.84 : x
  2. Step 2: Convert to fraction form
    517,479.50/714,121.74 = 288,031.84/x
  3. Step 3: Cross multiply
    517,479.50x = 714,121.74 × 288,031.84
  4. Step 4: Simplify right side
    517,479.50x = 205,689,800,987.83
  5. Step 5: Solve for x
    x = 205,689,800,987.83/517,479.50
  6. Step 6: Final answer
    x = 397,483.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.