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Finding the Fourth Proportional to 326,943.36, 490,416.12 and 90,280.80

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Solution

The fourth proportional to 326,943.36, 490,416.12 and 90,280.80 is: 135,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,943.36 : 490,416.12 = 90,280.80 : x
  2. Step 2: Convert to fraction form
    326,943.36/490,416.12 = 90,280.80/x
  3. Step 3: Cross multiply
    326,943.36x = 490,416.12 × 90,280.80
  4. Step 4: Simplify right side
    326,943.36x = 44,275,159,646.50
  5. Step 5: Solve for x
    x = 44,275,159,646.50/326,943.36
  6. Step 6: Final answer
    x = 135,421.50

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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.