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Finding the Fourth Proportional to 465,419.32, 697,956.55 and 165,820.37

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Solution

The fourth proportional to 465,419.32, 697,956.55 and 165,820.37 is: 248,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,419.32 : 697,956.55 = 165,820.37 : x
  2. Step 2: Convert to fraction form
    465,419.32/697,956.55 = 165,820.37/x
  3. Step 3: Cross multiply
    465,419.32x = 697,956.55 × 165,820.37
  4. Step 4: Simplify right side
    465,419.32x = 115,735,409,460.59
  5. Step 5: Solve for x
    x = 115,735,409,460.59/465,419.32
  6. Step 6: Final answer
    x = 248,669.11

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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.