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Finding the Fourth Proportional to 413,595.91, 570,617 and 270,439.75

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Solution

The fourth proportional to 413,595.91, 570,617 and 270,439.75 is: 373,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,595.91 : 570,617 = 270,439.75 : x
  2. Step 2: Convert to fraction form
    413,595.91/570,617 = 270,439.75/x
  3. Step 3: Cross multiply
    413,595.91x = 570,617 × 270,439.75
  4. Step 4: Simplify right side
    413,595.91x = 154,317,515,972.67
  5. Step 5: Solve for x
    x = 154,317,515,972.67/413,595.91
  6. Step 6: Final answer
    x = 373,111.81

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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.