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Finding the Fourth Proportional to 507,849.63, 761,118.34 and 241,691.73

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Solution

The fourth proportional to 507,849.63, 761,118.34 and 241,691.73 is: 362,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,849.63 : 761,118.34 = 241,691.73 : x
  2. Step 2: Convert to fraction form
    507,849.63/761,118.34 = 241,691.73/x
  3. Step 3: Cross multiply
    507,849.63x = 761,118.34 × 241,691.73
  4. Step 4: Simplify right side
    507,849.63x = 183,956,008,329.33
  5. Step 5: Solve for x
    x = 183,956,008,329.33/507,849.63
  6. Step 6: Final answer
    x = 362,225.35

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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.