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Finding the Fourth Proportional to 507,971.38, 700,973.57 and 290,137.27

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Solution

The fourth proportional to 507,971.38, 700,973.57 and 290,137.27 is: 400,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,971.38 : 700,973.57 = 290,137.27 : x
  2. Step 2: Convert to fraction form
    507,971.38/700,973.57 = 290,137.27/x
  3. Step 3: Cross multiply
    507,971.38x = 700,973.57 × 290,137.27
  4. Step 4: Simplify right side
    507,971.38x = 203,378,557,941.95
  5. Step 5: Solve for x
    x = 203,378,557,941.95/507,971.38
  6. Step 6: Final answer
    x = 400,374.05

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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.