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Finding the Fourth Proportional to 776,295, 1,164,442.50 and 215,329.50

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Solution

The fourth proportional to 776,295, 1,164,442.50 and 215,329.50 is: 322,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,295 : 1,164,442.50 = 215,329.50 : x
  2. Step 2: Convert to fraction form
    776,295/1,164,442.50 = 215,329.50/x
  3. Step 3: Cross multiply
    776,295x = 1,164,442.50 × 215,329.50
  4. Step 4: Simplify right side
    776,295x = 250,738,821,303.75
  5. Step 5: Solve for x
    x = 250,738,821,303.75/776,295
  6. Step 6: Final answer
    x = 322,994.25

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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.