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Finding the Fourth Proportional to 301,853.34, 416,537.52 and 165,884.40

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Solution

The fourth proportional to 301,853.34, 416,537.52 and 165,884.40 is: 228,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,853.34 : 416,537.52 = 165,884.40 : x
  2. Step 2: Convert to fraction form
    301,853.34/416,537.52 = 165,884.40/x
  3. Step 3: Cross multiply
    301,853.34x = 416,537.52 × 165,884.40
  4. Step 4: Simplify right side
    301,853.34x = 69,097,076,582.69
  5. Step 5: Solve for x
    x = 69,097,076,582.69/301,853.34
  6. Step 6: Final answer
    x = 228,909.43

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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.