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Finding the Fourth Proportional to 430,663.78, 645,995.87 and 193,729.70

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Solution

The fourth proportional to 430,663.78, 645,995.87 and 193,729.70 is: 290,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,663.78 : 645,995.87 = 193,729.70 : x
  2. Step 2: Convert to fraction form
    430,663.78/645,995.87 = 193,729.70/x
  3. Step 3: Cross multiply
    430,663.78x = 645,995.87 × 193,729.70
  4. Step 4: Simplify right side
    430,663.78x = 125,148,586,096.34
  5. Step 5: Solve for x
    x = 125,148,586,096.34/430,663.78
  6. Step 6: Final answer
    x = 290,594.64

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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.