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Finding the Fourth Proportional to 301,407.54, 415,498.32 and 229,663.14

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Solution

The fourth proportional to 301,407.54, 415,498.32 and 229,663.14 is: 316,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,407.54 : 415,498.32 = 229,663.14 : x
  2. Step 2: Convert to fraction form
    301,407.54/415,498.32 = 229,663.14/x
  3. Step 3: Cross multiply
    301,407.54x = 415,498.32 × 229,663.14
  4. Step 4: Simplify right side
    301,407.54x = 95,424,648,835.92
  5. Step 5: Solve for x
    x = 95,424,648,835.92/301,407.54
  6. Step 6: Final answer
    x = 316,596.75

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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.