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Finding the Fourth Proportional to 413,188.70, 570,202.83 and 229,429.87

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Solution

The fourth proportional to 413,188.70, 570,202.83 and 229,429.87 is: 316,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,188.70 : 570,202.83 = 229,429.87 : x
  2. Step 2: Convert to fraction form
    413,188.70/570,202.83 = 229,429.87/x
  3. Step 3: Cross multiply
    413,188.70x = 570,202.83 × 229,429.87
  4. Step 4: Simplify right side
    413,188.70x = 130,821,559,735.03
  5. Step 5: Solve for x
    x = 130,821,559,735.03/413,188.70
  6. Step 6: Final answer
    x = 316,614.57

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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.