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Finding the Fourth Proportional to 304,452.58, 420,145.68 and 164,751.19

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Solution

The fourth proportional to 304,452.58, 420,145.68 and 164,751.19 is: 227,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,452.58 : 420,145.68 = 164,751.19 : x
  2. Step 2: Convert to fraction form
    304,452.58/420,145.68 = 164,751.19/x
  3. Step 3: Cross multiply
    304,452.58x = 420,145.68 × 164,751.19
  4. Step 4: Simplify right side
    304,452.58x = 69,219,499,929.60
  5. Step 5: Solve for x
    x = 69,219,499,929.60/304,452.58
  6. Step 6: Final answer
    x = 227,357.25

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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.