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Finding the Fourth Proportional to 413,183.32, 570,199.98 and 229,417

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Solution

The fourth proportional to 413,183.32, 570,199.98 and 229,417 is: 316,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,183.32 : 570,199.98 = 229,417 : x
  2. Step 2: Convert to fraction form
    413,183.32/570,199.98 = 229,417/x
  3. Step 3: Cross multiply
    413,183.32x = 570,199.98 × 229,417
  4. Step 4: Simplify right side
    413,183.32x = 130,813,568,811.66
  5. Step 5: Solve for x
    x = 130,813,568,811.66/413,183.32
  6. Step 6: Final answer
    x = 316,599.35

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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.