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Finding the Fourth Proportional to 294,437.69, 406,324.08 and 160,301.69

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Solution

The fourth proportional to 294,437.69, 406,324.08 and 160,301.69 is: 221,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,437.69 : 406,324.08 = 160,301.69 : x
  2. Step 2: Convert to fraction form
    294,437.69/406,324.08 = 160,301.69/x
  3. Step 3: Cross multiply
    294,437.69x = 406,324.08 × 160,301.69
  4. Step 4: Simplify right side
    294,437.69x = 65,134,434,680.07
  5. Step 5: Solve for x
    x = 65,134,434,680.07/294,437.69
  6. Step 6: Final answer
    x = 221,216.37

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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.