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Finding the Fourth Proportional to 264,080, 364,430.40 and 144,845.44

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Solution

The fourth proportional to 264,080, 364,430.40 and 144,845.44 is: 199,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,080 : 364,430.40 = 144,845.44 : x
  2. Step 2: Convert to fraction form
    264,080/364,430.40 = 144,845.44/x
  3. Step 3: Cross multiply
    264,080x = 364,430.40 × 144,845.44
  4. Step 4: Simplify right side
    264,080x = 52,786,081,637.38
  5. Step 5: Solve for x
    x = 52,786,081,637.38/264,080
  6. Step 6: Final answer
    x = 199,886.71

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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.