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Finding the Fourth Proportional to 270,281.80, 404,813.76 and 209,829.03

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Solution

The fourth proportional to 270,281.80, 404,813.76 and 209,829.03 is: 314,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,281.80 : 404,813.76 = 209,829.03 : x
  2. Step 2: Convert to fraction form
    270,281.80/404,813.76 = 209,829.03/x
  3. Step 3: Cross multiply
    270,281.80x = 404,813.76 × 209,829.03
  4. Step 4: Simplify right side
    270,281.80x = 84,941,678,591.45
  5. Step 5: Solve for x
    x = 84,941,678,591.45/270,281.80
  6. Step 6: Final answer
    x = 314,270.80

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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.