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Finding the Fourth Proportional to 364,200.37, 502,765.73 and 259,491.82

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Solution

The fourth proportional to 364,200.37, 502,765.73 and 259,491.82 is: 358,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,200.37 : 502,765.73 = 259,491.82 : x
  2. Step 2: Convert to fraction form
    364,200.37/502,765.73 = 259,491.82/x
  3. Step 3: Cross multiply
    364,200.37x = 502,765.73 × 259,491.82
  4. Step 4: Simplify right side
    364,200.37x = 130,463,591,797.50
  5. Step 5: Solve for x
    x = 130,463,591,797.50/364,200.37
  6. Step 6: Final answer
    x = 358,219.28

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1.5x scale

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.