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Finding the Fourth Proportional to 514,930.46, 772,290.09 and 194,971.95

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Solution

The fourth proportional to 514,930.46, 772,290.09 and 194,971.95 is: 292,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,930.46 : 772,290.09 = 194,971.95 : x
  2. Step 2: Convert to fraction form
    514,930.46/772,290.09 = 194,971.95/x
  3. Step 3: Cross multiply
    514,930.46x = 772,290.09 × 194,971.95
  4. Step 4: Simplify right side
    514,930.46x = 150,574,904,812.98
  5. Step 5: Solve for x
    x = 150,574,904,812.98/514,930.46
  6. Step 6: Final answer
    x = 292,417.94

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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.