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Finding the Fourth Proportional to 378,068.24, 567,180.12 and 259,795.28

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Solution

The fourth proportional to 378,068.24, 567,180.12 and 259,795.28 is: 389,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,068.24 : 567,180.12 = 259,795.28 : x
  2. Step 2: Convert to fraction form
    378,068.24/567,180.12 = 259,795.28/x
  3. Step 3: Cross multiply
    378,068.24x = 567,180.12 × 259,795.28
  4. Step 4: Simplify right side
    378,068.24x = 147,350,718,085.83
  5. Step 5: Solve for x
    x = 147,350,718,085.83/378,068.24
  6. Step 6: Final answer
    x = 389,746.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.