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Finding the Fourth Proportional to 389,094.96, 583,704.92 and 164,457.68

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Solution

The fourth proportional to 389,094.96, 583,704.92 and 164,457.68 is: 246,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,094.96 : 583,704.92 = 164,457.68 : x
  2. Step 2: Convert to fraction form
    389,094.96/583,704.92 = 164,457.68/x
  3. Step 3: Cross multiply
    389,094.96x = 583,704.92 × 164,457.68
  4. Step 4: Simplify right side
    389,094.96x = 95,994,756,947.79
  5. Step 5: Solve for x
    x = 95,994,756,947.79/389,094.96
  6. Step 6: Final answer
    x = 246,712.93

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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.