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Finding the Fourth Proportional to 411,277.80, 616,916.70 and 317,965.80

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Solution

The fourth proportional to 411,277.80, 616,916.70 and 317,965.80 is: 476,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,277.80 : 616,916.70 = 317,965.80 : x
  2. Step 2: Convert to fraction form
    411,277.80/616,916.70 = 317,965.80/x
  3. Step 3: Cross multiply
    411,277.80x = 616,916.70 × 317,965.80
  4. Step 4: Simplify right side
    411,277.80x = 196,158,412,048.86
  5. Step 5: Solve for x
    x = 196,158,412,048.86/411,277.80
  6. Step 6: Final answer
    x = 476,948.70

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