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Finding the Fourth Proportional to 493,174.16, 680,541.48 and 302,161.58

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Solution

The fourth proportional to 493,174.16, 680,541.48 and 302,161.58 is: 416,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,174.16 : 680,541.48 = 302,161.58 : x
  2. Step 2: Convert to fraction form
    493,174.16/680,541.48 = 302,161.58/x
  3. Step 3: Cross multiply
    493,174.16x = 680,541.48 × 302,161.58
  4. Step 4: Simplify right side
    493,174.16x = 205,633,488,852.34
  5. Step 5: Solve for x
    x = 205,633,488,852.34/493,174.16
  6. Step 6: Final answer
    x = 416,959.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.