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Finding the Fourth Proportional to 328,022.40, 492,033.60 and 209,827.20

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Solution

The fourth proportional to 328,022.40, 492,033.60 and 209,827.20 is: 314,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,022.40 : 492,033.60 = 209,827.20 : x
  2. Step 2: Convert to fraction form
    328,022.40/492,033.60 = 209,827.20/x
  3. Step 3: Cross multiply
    328,022.40x = 492,033.60 × 209,827.20
  4. Step 4: Simplify right side
    328,022.40x = 103,242,032,593.92
  5. Step 5: Solve for x
    x = 103,242,032,593.92/328,022.40
  6. Step 6: Final answer
    x = 314,740.80

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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.