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Finding the Fourth Proportional to 458,613.35, 688,042.01 and 159,093.45

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Solution

The fourth proportional to 458,613.35, 688,042.01 and 159,093.45 is: 238,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,613.35 : 688,042.01 = 159,093.45 : x
  2. Step 2: Convert to fraction form
    458,613.35/688,042.01 = 159,093.45/x
  3. Step 3: Cross multiply
    458,613.35x = 688,042.01 × 159,093.45
  4. Step 4: Simplify right side
    458,613.35x = 109,462,976,320.37
  5. Step 5: Solve for x
    x = 109,462,976,320.37/458,613.35
  6. Step 6: Final answer
    x = 238,682.49

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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.