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Finding the Fourth Proportional to 317,114.39, 437,637.94 and 209,495.77

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Solution

The fourth proportional to 317,114.39, 437,637.94 and 209,495.77 is: 289,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,114.39 : 437,637.94 = 209,495.77 : x
  2. Step 2: Convert to fraction form
    317,114.39/437,637.94 = 209,495.77/x
  3. Step 3: Cross multiply
    317,114.39x = 437,637.94 × 209,495.77
  4. Step 4: Simplify right side
    317,114.39x = 91,683,295,603.68
  5. Step 5: Solve for x
    x = 91,683,295,603.68/317,114.39
  6. Step 6: Final answer
    x = 289,117.42

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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.