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Finding the Fourth Proportional to 301,702.89, 416,336.54 and 180,910.83

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Solution

The fourth proportional to 301,702.89, 416,336.54 and 180,910.83 is: 249,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,702.89 : 416,336.54 = 180,910.83 : x
  2. Step 2: Convert to fraction form
    301,702.89/416,336.54 = 180,910.83/x
  3. Step 3: Cross multiply
    301,702.89x = 416,336.54 × 180,910.83
  4. Step 4: Simplify right side
    301,702.89x = 75,319,788,106.17
  5. Step 5: Solve for x
    x = 75,319,788,106.17/301,702.89
  6. Step 6: Final answer
    x = 249,648.88

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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.