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Finding the Fourth Proportional to 716,947, 1,075,420.52 and 218,311

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Solution

The fourth proportional to 716,947, 1,075,420.52 and 218,311 is: 327,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,947 : 1,075,420.52 = 218,311 : x
  2. Step 2: Convert to fraction form
    716,947/1,075,420.52 = 218,311/x
  3. Step 3: Cross multiply
    716,947x = 1,075,420.52 × 218,311
  4. Step 4: Simplify right side
    716,947x = 234,776,129,141.72
  5. Step 5: Solve for x
    x = 234,776,129,141.72/716,947
  6. Step 6: Final answer
    x = 327,466.51

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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.