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Finding the Fourth Proportional to 328,223.60, 492,043.80 and 194,962.40

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Solution

The fourth proportional to 328,223.60, 492,043.80 and 194,962.40 is: 292,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,223.60 : 492,043.80 = 194,962.40 : x
  2. Step 2: Convert to fraction form
    328,223.60/492,043.80 = 194,962.40/x
  3. Step 3: Cross multiply
    328,223.60x = 492,043.80 × 194,962.40
  4. Step 4: Simplify right side
    328,223.60x = 95,930,040,153.12
  5. Step 5: Solve for x
    x = 95,930,040,153.12/328,223.60
  6. Step 6: Final answer
    x = 292,270.39

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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.