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Finding the Fourth Proportional to 537,730.40, 805,623.60 and 312,906.80

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Solution

The fourth proportional to 537,730.40, 805,623.60 and 312,906.80 is: 468,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,730.40 : 805,623.60 = 312,906.80 : x
  2. Step 2: Convert to fraction form
    537,730.40/805,623.60 = 312,906.80/x
  3. Step 3: Cross multiply
    537,730.40x = 805,623.60 × 312,906.80
  4. Step 4: Simplify right side
    537,730.40x = 252,085,102,680.48
  5. Step 5: Solve for x
    x = 252,085,102,680.48/537,730.40
  6. Step 6: Final answer
    x = 468,794.59

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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.