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Finding the Fourth Proportional to 506,204.82, 760,488.21 and 295,990.38

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Solution

The fourth proportional to 506,204.82, 760,488.21 and 295,990.38 is: 444,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,204.82 : 760,488.21 = 295,990.38 : x
  2. Step 2: Convert to fraction form
    506,204.82/760,488.21 = 295,990.38/x
  3. Step 3: Cross multiply
    506,204.82x = 760,488.21 × 295,990.38
  4. Step 4: Simplify right side
    506,204.82x = 225,097,194,263.42
  5. Step 5: Solve for x
    x = 225,097,194,263.42/506,204.82
  6. Step 6: Final answer
    x = 444,676.12

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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.