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Finding the Fourth Proportional to 509,004.26, 762,343.23 and 242,951.54

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Solution

The fourth proportional to 509,004.26, 762,343.23 and 242,951.54 is: 363,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,004.26 : 762,343.23 = 242,951.54 : x
  2. Step 2: Convert to fraction form
    509,004.26/762,343.23 = 242,951.54/x
  3. Step 3: Cross multiply
    509,004.26x = 762,343.23 × 242,951.54
  4. Step 4: Simplify right side
    509,004.26x = 185,212,461,737.07
  5. Step 5: Solve for x
    x = 185,212,461,737.07/509,004.26
  6. Step 6: Final answer
    x = 363,872.13

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1.5x scale

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.