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Finding the Fourth Proportional to 475,020.90, 711,926.55 and 194,220.90

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Solution

The fourth proportional to 475,020.90, 711,926.55 and 194,220.90 is: 291,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,020.90 : 711,926.55 = 194,220.90 : x
  2. Step 2: Convert to fraction form
    475,020.90/711,926.55 = 194,220.90/x
  3. Step 3: Cross multiply
    475,020.90x = 711,926.55 × 194,220.90
  4. Step 4: Simplify right side
    475,020.90x = 138,271,015,274.90
  5. Step 5: Solve for x
    x = 138,271,015,274.90/475,020.90
  6. Step 6: Final answer
    x = 291,084.07

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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.