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Finding the Fourth Proportional to 341,120.12, 470,830.16 and 232,404.36

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Solution

The fourth proportional to 341,120.12, 470,830.16 and 232,404.36 is: 320,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,120.12 : 470,830.16 = 232,404.36 : x
  2. Step 2: Convert to fraction form
    341,120.12/470,830.16 = 232,404.36/x
  3. Step 3: Cross multiply
    341,120.12x = 470,830.16 × 232,404.36
  4. Step 4: Simplify right side
    341,120.12x = 109,422,982,003.50
  5. Step 5: Solve for x
    x = 109,422,982,003.50/341,120.12
  6. Step 6: Final answer
    x = 320,775.51

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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.