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Finding the Fourth Proportional to 412,037.82, 620,864.34 and 338,798.64

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Solution

The fourth proportional to 412,037.82, 620,864.34 and 338,798.64 is: 510,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,037.82 : 620,864.34 = 338,798.64 : x
  2. Step 2: Convert to fraction form
    412,037.82/620,864.34 = 338,798.64/x
  3. Step 3: Cross multiply
    412,037.82x = 620,864.34 × 338,798.64
  4. Step 4: Simplify right side
    412,037.82x = 210,347,994,016.50
  5. Step 5: Solve for x
    x = 210,347,994,016.50/412,037.82
  6. Step 6: Final answer
    x = 510,506.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.