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Finding the Fourth Proportional to 507,367.38, 700,172.13 and 306,124.50

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Solution

The fourth proportional to 507,367.38, 700,172.13 and 306,124.50 is: 422,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,367.38 : 700,172.13 = 306,124.50 : x
  2. Step 2: Convert to fraction form
    507,367.38/700,172.13 = 306,124.50/x
  3. Step 3: Cross multiply
    507,367.38x = 700,172.13 × 306,124.50
  4. Step 4: Simplify right side
    507,367.38x = 214,339,843,210.19
  5. Step 5: Solve for x
    x = 214,339,843,210.19/507,367.38
  6. Step 6: Final answer
    x = 422,454.91

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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.