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Finding the Fourth Proportional to 299,698.63, 413,702.47 and 185,023.64

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Solution

The fourth proportional to 299,698.63, 413,702.47 and 185,023.64 is: 255,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,698.63 : 413,702.47 = 185,023.64 : x
  2. Step 2: Convert to fraction form
    299,698.63/413,702.47 = 185,023.64/x
  3. Step 3: Cross multiply
    299,698.63x = 413,702.47 × 185,023.64
  4. Step 4: Simplify right side
    299,698.63x = 76,544,738,141.93
  5. Step 5: Solve for x
    x = 76,544,738,141.93/299,698.63
  6. Step 6: Final answer
    x = 255,405.70

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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.