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Finding the Fourth Proportional to 413,622.28, 570,812.60 and 229,868.59

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Solution

The fourth proportional to 413,622.28, 570,812.60 and 229,868.59 is: 317,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,622.28 : 570,812.60 = 229,868.59 : x
  2. Step 2: Convert to fraction form
    413,622.28/570,812.60 = 229,868.59/x
  3. Step 3: Cross multiply
    413,622.28x = 570,812.60 × 229,868.59
  4. Step 4: Simplify right side
    413,622.28x = 131,211,883,512.83
  5. Step 5: Solve for x
    x = 131,211,883,512.83/413,622.28
  6. Step 6: Final answer
    x = 317,226.35

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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.