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Finding the Fourth Proportional to 294,668.13, 406,642.02 and 160,532.13

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Solution

The fourth proportional to 294,668.13, 406,642.02 and 160,532.13 is: 221,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,668.13 : 406,642.02 = 160,532.13 : x
  2. Step 2: Convert to fraction form
    294,668.13/406,642.02 = 160,532.13/x
  3. Step 3: Cross multiply
    294,668.13x = 406,642.02 × 160,532.13
  4. Step 4: Simplify right side
    294,668.13x = 65,279,109,618.10
  5. Step 5: Solve for x
    x = 65,279,109,618.10/294,668.13
  6. Step 6: Final answer
    x = 221,534.34

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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.