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Finding the Fourth Proportional to 317,894.94, 476,399.01 and 238,916.70

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Solution

The fourth proportional to 317,894.94, 476,399.01 and 238,916.70 is: 358,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,894.94 : 476,399.01 = 238,916.70 : x
  2. Step 2: Convert to fraction form
    317,894.94/476,399.01 = 238,916.70/x
  3. Step 3: Cross multiply
    317,894.94x = 476,399.01 × 238,916.70
  4. Step 4: Simplify right side
    317,894.94x = 113,819,679,352.47
  5. Step 5: Solve for x
    x = 113,819,679,352.47/317,894.94
  6. Step 6: Final answer
    x = 358,041.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.