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Finding the Fourth Proportional to 296,514.90, 409,290.44 and 180,228.02

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Solution

The fourth proportional to 296,514.90, 409,290.44 and 180,228.02 is: 248,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,514.90 : 409,290.44 = 180,228.02 : x
  2. Step 2: Convert to fraction form
    296,514.90/409,290.44 = 180,228.02/x
  3. Step 3: Cross multiply
    296,514.90x = 409,290.44 × 180,228.02
  4. Step 4: Simplify right side
    296,514.90x = 73,765,602,658.54
  5. Step 5: Solve for x
    x = 73,765,602,658.54/296,514.90
  6. Step 6: Final answer
    x = 248,775.37

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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.