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Finding the Fourth Proportional to 512,362.08, 707,017.68 and 297,433.44

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Solution

The fourth proportional to 512,362.08, 707,017.68 and 297,433.44 is: 410,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,362.08 : 707,017.68 = 297,433.44 : x
  2. Step 2: Convert to fraction form
    512,362.08/707,017.68 = 297,433.44/x
  3. Step 3: Cross multiply
    512,362.08x = 707,017.68 × 297,433.44
  4. Step 4: Simplify right side
    512,362.08x = 210,290,700,703.22
  5. Step 5: Solve for x
    x = 210,290,700,703.22/512,362.08
  6. Step 6: Final answer
    x = 410,433.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.