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Finding the Fourth Proportional to 286,514.82, 429,364.62 and 211,041.36

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Solution

The fourth proportional to 286,514.82, 429,364.62 and 211,041.36 is: 316,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,514.82 : 429,364.62 = 211,041.36 : x
  2. Step 2: Convert to fraction form
    286,514.82/429,364.62 = 211,041.36/x
  3. Step 3: Cross multiply
    286,514.82x = 429,364.62 × 211,041.36
  4. Step 4: Simplify right side
    286,514.82x = 90,613,693,340.68
  5. Step 5: Solve for x
    x = 90,613,693,340.68/286,514.82
  6. Step 6: Final answer
    x = 316,261.80

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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.