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Finding the Fourth Proportional to 514,699.06, 772,145.66 and 194,946.65

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Solution

The fourth proportional to 514,699.06, 772,145.66 and 194,946.65 is: 292,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,699.06 : 772,145.66 = 194,946.65 : x
  2. Step 2: Convert to fraction form
    514,699.06/772,145.66 = 194,946.65/x
  3. Step 3: Cross multiply
    514,699.06x = 772,145.66 × 194,946.65
  4. Step 4: Simplify right side
    514,699.06x = 150,527,209,251.22
  5. Step 5: Solve for x
    x = 150,527,209,251.22/514,699.06
  6. Step 6: Final answer
    x = 292,456.74

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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.