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Finding the Fourth Proportional to 507,846.78, 761,707.87 and 294,730.65

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Solution

The fourth proportional to 507,846.78, 761,707.87 and 294,730.65 is: 442,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,846.78 : 761,707.87 = 294,730.65 : x
  2. Step 2: Convert to fraction form
    507,846.78/761,707.87 = 294,730.65/x
  3. Step 3: Cross multiply
    507,846.78x = 761,707.87 × 294,730.65
  4. Step 4: Simplify right side
    507,846.78x = 224,498,654,898.39
  5. Step 5: Solve for x
    x = 224,498,654,898.39/507,846.78
  6. Step 6: Final answer
    x = 442,059.82

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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.