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Finding the Fourth Proportional to 556,905.72, 768,523.50 and 302,257.08

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Solution

The fourth proportional to 556,905.72, 768,523.50 and 302,257.08 is: 417,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,905.72 : 768,523.50 = 302,257.08 : x
  2. Step 2: Convert to fraction form
    556,905.72/768,523.50 = 302,257.08/x
  3. Step 3: Cross multiply
    556,905.72x = 768,523.50 × 302,257.08
  4. Step 4: Simplify right side
    556,905.72x = 232,291,669,021.38
  5. Step 5: Solve for x
    x = 232,291,669,021.38/556,905.72
  6. Step 6: Final answer
    x = 417,111.30

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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.