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Finding the Fourth Proportional to 508,265.34, 761,902.26 and 241,954.32

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Solution

The fourth proportional to 508,265.34, 761,902.26 and 241,954.32 is: 362,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,265.34 : 761,902.26 = 241,954.32 : x
  2. Step 2: Convert to fraction form
    508,265.34/761,902.26 = 241,954.32/x
  3. Step 3: Cross multiply
    508,265.34x = 761,902.26 × 241,954.32
  4. Step 4: Simplify right side
    508,265.34x = 184,345,543,224.76
  5. Step 5: Solve for x
    x = 184,345,543,224.76/508,265.34
  6. Step 6: Final answer
    x = 362,695.48

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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.