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Finding the Fourth Proportional to 309,063.68, 463,595.52 and 161,285.12

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Solution

The fourth proportional to 309,063.68, 463,595.52 and 161,285.12 is: 241,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,063.68 : 463,595.52 = 161,285.12 : x
  2. Step 2: Convert to fraction form
    309,063.68/463,595.52 = 161,285.12/x
  3. Step 3: Cross multiply
    309,063.68x = 463,595.52 × 161,285.12
  4. Step 4: Simplify right side
    309,063.68x = 74,771,059,074.66
  5. Step 5: Solve for x
    x = 74,771,059,074.66/309,063.68
  6. Step 6: Final answer
    x = 241,927.68

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Similar ratio
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1.5x scale

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.