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Finding the Fourth Proportional to 557,000.76, 768,662.38 and 302,351.88

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Solution

The fourth proportional to 557,000.76, 768,662.38 and 302,351.88 is: 417,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,000.76 : 768,662.38 = 302,351.88 : x
  2. Step 2: Convert to fraction form
    557,000.76/768,662.38 = 302,351.88/x
  3. Step 3: Cross multiply
    557,000.76x = 768,662.38 × 302,351.88
  4. Step 4: Simplify right side
    557,000.76x = 232,406,515,678.27
  5. Step 5: Solve for x
    x = 232,406,515,678.27/557,000.76
  6. Step 6: Final answer
    x = 417,246.32

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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.