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Finding the Fourth Proportional to 298,520.58, 411,952.47 and 162,556.14

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Solution

The fourth proportional to 298,520.58, 411,952.47 and 162,556.14 is: 224,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,520.58 : 411,952.47 = 162,556.14 : x
  2. Step 2: Convert to fraction form
    298,520.58/411,952.47 = 162,556.14/x
  3. Step 3: Cross multiply
    298,520.58x = 411,952.47 × 162,556.14
  4. Step 4: Simplify right side
    298,520.58x = 66,965,403,386.67
  5. Step 5: Solve for x
    x = 66,965,403,386.67/298,520.58
  6. Step 6: Final answer
    x = 224,324.24

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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.