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Finding the Fourth Proportional to 294,425.56, 406,307.34 and 160,289.56

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Solution

The fourth proportional to 294,425.56, 406,307.34 and 160,289.56 is: 221,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,425.56 : 406,307.34 = 160,289.56 : x
  2. Step 2: Convert to fraction form
    294,425.56/406,307.34 = 160,289.56/x
  3. Step 3: Cross multiply
    294,425.56x = 406,307.34 × 160,289.56
  4. Step 4: Simplify right side
    294,425.56x = 65,126,824,753.37
  5. Step 5: Solve for x
    x = 65,126,824,753.37/294,425.56
  6. Step 6: Final answer
    x = 221,199.63

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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.