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Finding the Fourth Proportional to 412,555.76, 618,189.60 and 286,442

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Solution

The fourth proportional to 412,555.76, 618,189.60 and 286,442 is: 429,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,555.76 : 618,189.60 = 286,442 : x
  2. Step 2: Convert to fraction form
    412,555.76/618,189.60 = 286,442/x
  3. Step 3: Cross multiply
    412,555.76x = 618,189.60 × 286,442
  4. Step 4: Simplify right side
    412,555.76x = 177,075,465,403.20
  5. Step 5: Solve for x
    x = 177,075,465,403.20/412,555.76
  6. Step 6: Final answer
    x = 429,215.84

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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.