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Finding the Fourth Proportional to 326,489.80, 489,564.78 and 116,097.16

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Solution

The fourth proportional to 326,489.80, 489,564.78 and 116,097.16 is: 174,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,489.80 : 489,564.78 = 116,097.16 : x
  2. Step 2: Convert to fraction form
    326,489.80/489,564.78 = 116,097.16/x
  3. Step 3: Cross multiply
    326,489.80x = 489,564.78 × 116,097.16
  4. Step 4: Simplify right side
    326,489.80x = 56,837,080,594.02
  5. Step 5: Solve for x
    x = 56,837,080,594.02/326,489.80
  6. Step 6: Final answer
    x = 174,085.32

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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.