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Finding the Fourth Proportional to 338,568.40, 507,982.20 and 333,254.80

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Solution

The fourth proportional to 338,568.40, 507,982.20 and 333,254.80 is: 500,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,568.40 : 507,982.20 = 333,254.80 : x
  2. Step 2: Convert to fraction form
    338,568.40/507,982.20 = 333,254.80/x
  3. Step 3: Cross multiply
    338,568.40x = 507,982.20 × 333,254.80
  4. Step 4: Simplify right side
    338,568.40x = 169,287,506,464.56
  5. Step 5: Solve for x
    x = 169,287,506,464.56/338,568.40
  6. Step 6: Final answer
    x = 500,009.77

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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.