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Finding the Fourth Proportional to 389,818.35, 584,765.82 and 162,066.93

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Solution

The fourth proportional to 389,818.35, 584,765.82 and 162,066.93 is: 243,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,818.35 : 584,765.82 = 162,066.93 : x
  2. Step 2: Convert to fraction form
    389,818.35/584,765.82 = 162,066.93/x
  3. Step 3: Cross multiply
    389,818.35x = 584,765.82 × 162,066.93
  4. Step 4: Simplify right side
    389,818.35x = 94,771,201,216.33
  5. Step 5: Solve for x
    x = 94,771,201,216.33/389,818.35
  6. Step 6: Final answer
    x = 243,116.32

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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.