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Finding the Fourth Proportional to 557,296.29, 769,068.89 and 302,647.48

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Solution

The fourth proportional to 557,296.29, 769,068.89 and 302,647.48 is: 417,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,296.29 : 769,068.89 = 302,647.48 : x
  2. Step 2: Convert to fraction form
    557,296.29/769,068.89 = 302,647.48/x
  3. Step 3: Cross multiply
    557,296.29x = 769,068.89 × 302,647.48
  4. Step 4: Simplify right side
    557,296.29x = 232,756,762,457.17
  5. Step 5: Solve for x
    x = 232,756,762,457.17/557,296.29
  6. Step 6: Final answer
    x = 417,653.53

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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.