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Finding the Fourth Proportional to 326,096.80, 489,145.20 and 282,356.80

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Solution

The fourth proportional to 326,096.80, 489,145.20 and 282,356.80 is: 423,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,096.80 : 489,145.20 = 282,356.80 : x
  2. Step 2: Convert to fraction form
    326,096.80/489,145.20 = 282,356.80/x
  3. Step 3: Cross multiply
    326,096.80x = 489,145.20 × 282,356.80
  4. Step 4: Simplify right side
    326,096.80x = 138,113,473,407.36
  5. Step 5: Solve for x
    x = 138,113,473,407.36/326,096.80
  6. Step 6: Final answer
    x = 423,535.20

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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.