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Finding the Fourth Proportional to 301,497.69, 416,048.17 and 165,530.88

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Solution

The fourth proportional to 301,497.69, 416,048.17 and 165,530.88 is: 228,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,497.69 : 416,048.17 = 165,530.88 : x
  2. Step 2: Convert to fraction form
    301,497.69/416,048.17 = 165,530.88/x
  3. Step 3: Cross multiply
    301,497.69x = 416,048.17 × 165,530.88
  4. Step 4: Simplify right side
    301,497.69x = 68,868,819,702.49
  5. Step 5: Solve for x
    x = 68,868,819,702.49/301,497.69
  6. Step 6: Final answer
    x = 228,422.38

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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.