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Finding the Fourth Proportional to 489,730.60, 733,818.30 and 410,415.40

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Solution

The fourth proportional to 489,730.60, 733,818.30 and 410,415.40 is: 614,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,730.60 : 733,818.30 = 410,415.40 : x
  2. Step 2: Convert to fraction form
    489,730.60/733,818.30 = 410,415.40/x
  3. Step 3: Cross multiply
    489,730.60x = 733,818.30 × 410,415.40
  4. Step 4: Simplify right side
    489,730.60x = 301,170,331,121.82
  5. Step 5: Solve for x
    x = 301,170,331,121.82/489,730.60
  6. Step 6: Final answer
    x = 614,971.44

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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.