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Finding the Fourth Proportional to 413,677.36, 570,874.44 and 234,829.36

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Solution

The fourth proportional to 413,677.36, 570,874.44 and 234,829.36 is: 324,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,677.36 : 570,874.44 = 234,829.36 : x
  2. Step 2: Convert to fraction form
    413,677.36/570,874.44 = 234,829.36/x
  3. Step 3: Cross multiply
    413,677.36x = 570,874.44 × 234,829.36
  4. Step 4: Simplify right side
    413,677.36x = 134,058,079,385.56
  5. Step 5: Solve for x
    x = 134,058,079,385.56/413,677.36
  6. Step 6: Final answer
    x = 324,064.34

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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.