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Finding the Fourth Proportional to 328,202.90, 492,304.35 and 210,007.70

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Solution

The fourth proportional to 328,202.90, 492,304.35 and 210,007.70 is: 315,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,202.90 : 492,304.35 = 210,007.70 : x
  2. Step 2: Convert to fraction form
    328,202.90/492,304.35 = 210,007.70/x
  3. Step 3: Cross multiply
    328,202.90x = 492,304.35 × 210,007.70
  4. Step 4: Simplify right side
    328,202.90x = 103,387,704,243.50
  5. Step 5: Solve for x
    x = 103,387,704,243.50/328,202.90
  6. Step 6: Final answer
    x = 315,011.55

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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.