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Finding the Fourth Proportional to 506,206.32, 760,490.46 and 295,991.88

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Solution

The fourth proportional to 506,206.32, 760,490.46 and 295,991.88 is: 444,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,206.32 : 760,490.46 = 295,991.88 : x
  2. Step 2: Convert to fraction form
    506,206.32/760,490.46 = 295,991.88/x
  3. Step 3: Cross multiply
    506,206.32x = 760,490.46 × 295,991.88
  4. Step 4: Simplify right side
    506,206.32x = 225,099,000,977.47
  5. Step 5: Solve for x
    x = 225,099,000,977.47/506,206.32
  6. Step 6: Final answer
    x = 444,678.37

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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.