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Finding the Fourth Proportional to 682,907.60, 1,024,361.40 and 288,872.40

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Solution

The fourth proportional to 682,907.60, 1,024,361.40 and 288,872.40 is: 433,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,907.60 : 1,024,361.40 = 288,872.40 : x
  2. Step 2: Convert to fraction form
    682,907.60/1,024,361.40 = 288,872.40/x
  3. Step 3: Cross multiply
    682,907.60x = 1,024,361.40 × 288,872.40
  4. Step 4: Simplify right side
    682,907.60x = 295,909,736,085.36
  5. Step 5: Solve for x
    x = 295,909,736,085.36/682,907.60
  6. Step 6: Final answer
    x = 433,308.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.