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Finding the Fourth Proportional to 712,106.46, 982,706.83 and 389,816.77

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Solution

The fourth proportional to 712,106.46, 982,706.83 and 389,816.77 is: 537,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,106.46 : 982,706.83 = 389,816.77 : x
  2. Step 2: Convert to fraction form
    712,106.46/982,706.83 = 389,816.77/x
  3. Step 3: Cross multiply
    712,106.46x = 982,706.83 × 389,816.77
  4. Step 4: Simplify right side
    712,106.46x = 383,075,602,327.54
  5. Step 5: Solve for x
    x = 383,075,602,327.54/712,106.46
  6. Step 6: Final answer
    x = 537,947.10

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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.