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Finding the Fourth Proportional to 702,804.24, 969,868.44 and 380,514.60

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Solution

The fourth proportional to 702,804.24, 969,868.44 and 380,514.60 is: 525,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,804.24 : 969,868.44 = 380,514.60 : x
  2. Step 2: Convert to fraction form
    702,804.24/969,868.44 = 380,514.60/x
  3. Step 3: Cross multiply
    702,804.24x = 969,868.44 × 380,514.60
  4. Step 4: Simplify right side
    702,804.24x = 369,049,101,499.22
  5. Step 5: Solve for x
    x = 369,049,101,499.22/702,804.24
  6. Step 6: Final answer
    x = 525,109.38

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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.