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Finding the Fourth Proportional to 326,057.80, 489,086.70 and 298,064.20

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Solution

The fourth proportional to 326,057.80, 489,086.70 and 298,064.20 is: 447,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,057.80 : 489,086.70 = 298,064.20 : x
  2. Step 2: Convert to fraction form
    326,057.80/489,086.70 = 298,064.20/x
  3. Step 3: Cross multiply
    326,057.80x = 489,086.70 × 298,064.20
  4. Step 4: Simplify right side
    326,057.80x = 145,779,235,966.14
  5. Step 5: Solve for x
    x = 145,779,235,966.14/326,057.80
  6. Step 6: Final answer
    x = 447,096.30

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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.