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Finding the Fourth Proportional to 298,386.68, 411,782.24 and 162,429.44

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Solution

The fourth proportional to 298,386.68, 411,782.24 and 162,429.44 is: 224,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,386.68 : 411,782.24 = 162,429.44 : x
  2. Step 2: Convert to fraction form
    298,386.68/411,782.24 = 162,429.44/x
  3. Step 3: Cross multiply
    298,386.68x = 411,782.24 × 162,429.44
  4. Step 4: Simplify right side
    298,386.68x = 66,885,556,992.31
  5. Step 5: Solve for x
    x = 66,885,556,992.31/298,386.68
  6. Step 6: Final answer
    x = 224,157.32

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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.