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Finding the Fourth Proportional to 326,307, 489,460.50 and 115,953.24

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Solution

The fourth proportional to 326,307, 489,460.50 and 115,953.24 is: 173,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,307 : 489,460.50 = 115,953.24 : x
  2. Step 2: Convert to fraction form
    326,307/489,460.50 = 115,953.24/x
  3. Step 3: Cross multiply
    326,307x = 489,460.50 × 115,953.24
  4. Step 4: Simplify right side
    326,307x = 56,754,530,827.02
  5. Step 5: Solve for x
    x = 56,754,530,827.02/326,307
  6. Step 6: Final answer
    x = 173,929.86

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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.