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Finding the Fourth Proportional to 864,148.50, 1,295,808.71 and 408,360.42

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Solution

The fourth proportional to 864,148.50, 1,295,808.71 and 408,360.42 is: 612,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,148.50 : 1,295,808.71 = 408,360.42 : x
  2. Step 2: Convert to fraction form
    864,148.50/1,295,808.71 = 408,360.42/x
  3. Step 3: Cross multiply
    864,148.50x = 1,295,808.71 × 408,360.42
  4. Step 4: Simplify right side
    864,148.50x = 529,156,987,013.46
  5. Step 5: Solve for x
    x = 529,156,987,013.46/864,148.50
  6. Step 6: Final answer
    x = 612,344.97

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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.