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Finding the Fourth Proportional to 298,410.03, 411,804.68 and 162,451.53

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Solution

The fourth proportional to 298,410.03, 411,804.68 and 162,451.53 is: 224,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,410.03 : 411,804.68 = 162,451.53 : x
  2. Step 2: Convert to fraction form
    298,410.03/411,804.68 = 162,451.53/x
  3. Step 3: Cross multiply
    298,410.03x = 411,804.68 × 162,451.53
  4. Step 4: Simplify right side
    298,410.03x = 66,898,299,514.90
  5. Step 5: Solve for x
    x = 66,898,299,514.90/298,410.03
  6. Step 6: Final answer
    x = 224,182.48

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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.