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Finding the Fourth Proportional to 556,895.52, 768,496.32 and 302,241.60

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Solution

The fourth proportional to 556,895.52, 768,496.32 and 302,241.60 is: 417,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,895.52 : 768,496.32 = 302,241.60 : x
  2. Step 2: Convert to fraction form
    556,895.52/768,496.32 = 302,241.60/x
  3. Step 3: Cross multiply
    556,895.52x = 768,496.32 × 302,241.60
  4. Step 4: Simplify right side
    556,895.52x = 232,271,557,350.91
  5. Step 5: Solve for x
    x = 232,271,557,350.91/556,895.52
  6. Step 6: Final answer
    x = 417,082.83

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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.