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Finding the Fourth Proportional to 834,410.76, 1,151,509.49 and 471,888.84

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Solution

The fourth proportional to 834,410.76, 1,151,509.49 and 471,888.84 is: 651,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,410.76 : 1,151,509.49 = 471,888.84 : x
  2. Step 2: Convert to fraction form
    834,410.76/1,151,509.49 = 471,888.84/x
  3. Step 3: Cross multiply
    834,410.76x = 1,151,509.49 × 471,888.84
  4. Step 4: Simplify right side
    834,410.76x = 543,384,477,485.09
  5. Step 5: Solve for x
    x = 543,384,477,485.09/834,410.76
  6. Step 6: Final answer
    x = 651,219.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.