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Finding the Fourth Proportional to 412,010.60, 618,015.90 and 409,386.20

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Solution

The fourth proportional to 412,010.60, 618,015.90 and 409,386.20 is: 614,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,010.60 : 618,015.90 = 409,386.20 : x
  2. Step 2: Convert to fraction form
    412,010.60/618,015.90 = 409,386.20/x
  3. Step 3: Cross multiply
    412,010.60x = 618,015.90 × 409,386.20
  4. Step 4: Simplify right side
    412,010.60x = 253,007,180,840.58
  5. Step 5: Solve for x
    x = 253,007,180,840.58/412,010.60
  6. Step 6: Final answer
    x = 614,079.30

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1.5x scale

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.