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Finding the Fourth Proportional to 307,875.70, 461,813.55 and 208,083.70

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Solution

The fourth proportional to 307,875.70, 461,813.55 and 208,083.70 is: 312,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,875.70 : 461,813.55 = 208,083.70 : x
  2. Step 2: Convert to fraction form
    307,875.70/461,813.55 = 208,083.70/x
  3. Step 3: Cross multiply
    307,875.70x = 461,813.55 × 208,083.70
  4. Step 4: Simplify right side
    307,875.70x = 96,095,872,194.14
  5. Step 5: Solve for x
    x = 96,095,872,194.14/307,875.70
  6. Step 6: Final answer
    x = 312,125.55

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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.