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Finding the Fourth Proportional to 294,425.88, 406,307.71 and 160,289.88

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Solution

The fourth proportional to 294,425.88, 406,307.71 and 160,289.88 is: 221,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,425.88 : 406,307.71 = 160,289.88 : x
  2. Step 2: Convert to fraction form
    294,425.88/406,307.71 = 160,289.88/x
  3. Step 3: Cross multiply
    294,425.88x = 406,307.71 × 160,289.88
  4. Step 4: Simplify right side
    294,425.88x = 65,127,014,078.97
  5. Step 5: Solve for x
    x = 65,127,014,078.97/294,425.88
  6. Step 6: Final answer
    x = 221,200.03

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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.