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Finding the Fourth Proportional to 288,182.26, 397,678.71 and 160,854.94

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Solution

The fourth proportional to 288,182.26, 397,678.71 and 160,854.94 is: 221,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,182.26 : 397,678.71 = 160,854.94 : x
  2. Step 2: Convert to fraction form
    288,182.26/397,678.71 = 160,854.94/x
  3. Step 3: Cross multiply
    288,182.26x = 397,678.71 × 160,854.94
  4. Step 4: Simplify right side
    288,182.26x = 63,968,585,036.33
  5. Step 5: Solve for x
    x = 63,968,585,036.33/288,182.26
  6. Step 6: Final answer
    x = 221,972.67

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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.