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Finding the Fourth Proportional to 413,126.40, 570,025.92 and 270,096.48

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Solution

The fourth proportional to 413,126.40, 570,025.92 and 270,096.48 is: 372,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,126.40 : 570,025.92 = 270,096.48 : x
  2. Step 2: Convert to fraction form
    413,126.40/570,025.92 = 270,096.48/x
  3. Step 3: Cross multiply
    413,126.40x = 570,025.92 × 270,096.48
  4. Step 4: Simplify right side
    413,126.40x = 153,961,994,500.76
  5. Step 5: Solve for x
    x = 153,961,994,500.76/413,126.40
  6. Step 6: Final answer
    x = 372,675.27

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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.