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Finding the Fourth Proportional to 433,953.73, 649,809.01 and 299,432.71

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Solution

The fourth proportional to 433,953.73, 649,809.01 and 299,432.71 is: 448,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,953.73 : 649,809.01 = 299,432.71 : x
  2. Step 2: Convert to fraction form
    433,953.73/649,809.01 = 299,432.71/x
  3. Step 3: Cross multiply
    433,953.73x = 649,809.01 × 299,432.71
  4. Step 4: Simplify right side
    433,953.73x = 194,574,072,846.72
  5. Step 5: Solve for x
    x = 194,574,072,846.72/433,953.73
  6. Step 6: Final answer
    x = 448,375.16

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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.