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Finding the Fourth Proportional to 512,302.08, 707,039.15 and 297,442.14

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Solution

The fourth proportional to 512,302.08, 707,039.15 and 297,442.14 is: 410,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,302.08 : 707,039.15 = 297,442.14 : x
  2. Step 2: Convert to fraction form
    512,302.08/707,039.15 = 297,442.14/x
  3. Step 3: Cross multiply
    512,302.08x = 707,039.15 × 297,442.14
  4. Step 4: Simplify right side
    512,302.08x = 210,303,240,944.58
  5. Step 5: Solve for x
    x = 210,303,240,944.58/512,302.08
  6. Step 6: Final answer
    x = 410,506.32

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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.