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Finding the Fourth Proportional to 536,653.14, 804,971.48 and 137,290.52

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Solution

The fourth proportional to 536,653.14, 804,971.48 and 137,290.52 is: 205,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,653.14 : 804,971.48 = 137,290.52 : x
  2. Step 2: Convert to fraction form
    536,653.14/804,971.48 = 137,290.52/x
  3. Step 3: Cross multiply
    536,653.14x = 804,971.48 × 137,290.52
  4. Step 4: Simplify right side
    536,653.14x = 110,514,953,074.37
  5. Step 5: Solve for x
    x = 110,514,953,074.37/536,653.14
  6. Step 6: Final answer
    x = 205,933.67

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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.