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Finding the Fourth Proportional to 507,577.74, 761,462.73 and 203,995.46

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Solution

The fourth proportional to 507,577.74, 761,462.73 and 203,995.46 is: 306,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,577.74 : 761,462.73 = 203,995.46 : x
  2. Step 2: Convert to fraction form
    507,577.74/761,462.73 = 203,995.46/x
  3. Step 3: Cross multiply
    507,577.74x = 761,462.73 × 203,995.46
  4. Step 4: Simplify right side
    507,577.74x = 155,334,936,071.89
  5. Step 5: Solve for x
    x = 155,334,936,071.89/507,577.74
  6. Step 6: Final answer
    x = 306,031.81

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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.