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Finding the Fourth Proportional to 286,427.34, 429,643.44 and 86,763.42

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Solution

The fourth proportional to 286,427.34, 429,643.44 and 86,763.42 is: 130,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,427.34 : 429,643.44 = 86,763.42 : x
  2. Step 2: Convert to fraction form
    286,427.34/429,643.44 = 86,763.42/x
  3. Step 3: Cross multiply
    286,427.34x = 429,643.44 × 86,763.42
  4. Step 4: Simplify right side
    286,427.34x = 37,277,334,234.96
  5. Step 5: Solve for x
    x = 37,277,334,234.96/286,427.34
  6. Step 6: Final answer
    x = 130,145.87

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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.