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Finding the Fourth Proportional to 255,799.74, 353,226.51 and 160,470.30

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Solution

The fourth proportional to 255,799.74, 353,226.51 and 160,470.30 is: 221,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,799.74 : 353,226.51 = 160,470.30 : x
  2. Step 2: Convert to fraction form
    255,799.74/353,226.51 = 160,470.30/x
  3. Step 3: Cross multiply
    255,799.74x = 353,226.51 × 160,470.30
  4. Step 4: Simplify right side
    255,799.74x = 56,682,364,027.65
  5. Step 5: Solve for x
    x = 56,682,364,027.65/255,799.74
  6. Step 6: Final answer
    x = 221,588.83

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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.