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Finding the Fourth Proportional to 507,819.38, 701,013.98 and 355,455.96

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Solution

The fourth proportional to 507,819.38, 701,013.98 and 355,455.96 is: 490,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,819.38 : 701,013.98 = 355,455.96 : x
  2. Step 2: Convert to fraction form
    507,819.38/701,013.98 = 355,455.96/x
  3. Step 3: Cross multiply
    507,819.38x = 701,013.98 × 355,455.96
  4. Step 4: Simplify right side
    507,819.38x = 249,179,597,234.32
  5. Step 5: Solve for x
    x = 249,179,597,234.32/507,819.38
  6. Step 6: Final answer
    x = 490,685.48

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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.