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Finding the Fourth Proportional to 294,809.34, 406,837.26 and 160,673.34

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Solution

The fourth proportional to 294,809.34, 406,837.26 and 160,673.34 is: 221,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.34 : 406,837.26 = 160,673.34 : x
  2. Step 2: Convert to fraction form
    294,809.34/406,837.26 = 160,673.34/x
  3. Step 3: Cross multiply
    294,809.34x = 406,837.26 × 160,673.34
  4. Step 4: Simplify right side
    294,809.34x = 65,367,901,400.65
  5. Step 5: Solve for x
    x = 65,367,901,400.65/294,809.34
  6. Step 6: Final answer
    x = 221,729.41

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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.