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Finding the Fourth Proportional to 413,614.80, 570,841.20 and 252,435.60

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Solution

The fourth proportional to 413,614.80, 570,841.20 and 252,435.60 is: 348,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,614.80 : 570,841.20 = 252,435.60 : x
  2. Step 2: Convert to fraction form
    413,614.80/570,841.20 = 252,435.60/x
  3. Step 3: Cross multiply
    413,614.80x = 570,841.20 × 252,435.60
  4. Step 4: Simplify right side
    413,614.80x = 144,100,640,826.72
  5. Step 5: Solve for x
    x = 144,100,640,826.72/413,614.80
  6. Step 6: Final answer
    x = 348,393.34

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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.