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Finding the Fourth Proportional to 556,926.44, 768,537.92 and 302,272.16

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Solution

The fourth proportional to 556,926.44, 768,537.92 and 302,272.16 is: 417,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,926.44 : 768,537.92 = 302,272.16 : x
  2. Step 2: Convert to fraction form
    556,926.44/768,537.92 = 302,272.16/x
  3. Step 3: Cross multiply
    556,926.44x = 768,537.92 × 302,272.16
  4. Step 4: Simplify right side
    556,926.44x = 232,307,614,033.30
  5. Step 5: Solve for x
    x = 232,307,614,033.30/556,926.44
  6. Step 6: Final answer
    x = 417,124.42

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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.