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Finding the Fourth Proportional to 286,851.15, 429,827.18 and 181,447.47

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Solution

The fourth proportional to 286,851.15, 429,827.18 and 181,447.47 is: 271,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,851.15 : 429,827.18 = 181,447.47 : x
  2. Step 2: Convert to fraction form
    286,851.15/429,827.18 = 181,447.47/x
  3. Step 3: Cross multiply
    286,851.15x = 429,827.18 × 181,447.47
  4. Step 4: Simplify right side
    286,851.15x = 77,991,053,441.00
  5. Step 5: Solve for x
    x = 77,991,053,441.00/286,851.15
  6. Step 6: Final answer
    x = 271,886.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.