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Finding the Fourth Proportional to 557,427.42, 769,246.47 and 302,776.38

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Solution

The fourth proportional to 557,427.42, 769,246.47 and 302,776.38 is: 417,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,427.42 : 769,246.47 = 302,776.38 : x
  2. Step 2: Convert to fraction form
    557,427.42/769,246.47 = 302,776.38/x
  3. Step 3: Cross multiply
    557,427.42x = 769,246.47 × 302,776.38
  4. Step 4: Simplify right side
    557,427.42x = 232,909,661,514.38
  5. Step 5: Solve for x
    x = 232,909,661,514.38/557,427.42
  6. Step 6: Final answer
    x = 417,829.57

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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.