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Finding the Fourth Proportional to 514,703.82, 772,152.80 and 194,951.41

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Solution

The fourth proportional to 514,703.82, 772,152.80 and 194,951.41 is: 292,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,703.82 : 772,152.80 = 194,951.41 : x
  2. Step 2: Convert to fraction form
    514,703.82/772,152.80 = 194,951.41/x
  3. Step 3: Cross multiply
    514,703.82x = 772,152.80 × 194,951.41
  4. Step 4: Simplify right side
    514,703.82x = 150,532,277,095.45
  5. Step 5: Solve for x
    x = 150,532,277,095.45/514,703.82
  6. Step 6: Final answer
    x = 292,463.88

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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.