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Finding the Fourth Proportional to 557,464.04, 769,619.52 and 367,031

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Solution

The fourth proportional to 557,464.04, 769,619.52 and 367,031 is: 506,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,464.04 : 769,619.52 = 367,031 : x
  2. Step 2: Convert to fraction form
    557,464.04/769,619.52 = 367,031/x
  3. Step 3: Cross multiply
    557,464.04x = 769,619.52 × 367,031
  4. Step 4: Simplify right side
    557,464.04x = 282,474,222,045.12
  5. Step 5: Solve for x
    x = 282,474,222,045.12/557,464.04
  6. Step 6: Final answer
    x = 506,712.90

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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.