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Finding the Fourth Proportional to 359,747.42, 496,493.43 and 299,211.26

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Solution

The fourth proportional to 359,747.42, 496,493.43 and 299,211.26 is: 412,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,747.42 : 496,493.43 = 299,211.26 : x
  2. Step 2: Convert to fraction form
    359,747.42/496,493.43 = 299,211.26/x
  3. Step 3: Cross multiply
    359,747.42x = 496,493.43 × 299,211.26
  4. Step 4: Simplify right side
    359,747.42x = 148,556,424,772.02
  5. Step 5: Solve for x
    x = 148,556,424,772.02/359,747.42
  6. Step 6: Final answer
    x = 412,946.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.