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Finding the Fourth Proportional to 412,130.72, 618,196.08 and 225,040.16

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Solution

The fourth proportional to 412,130.72, 618,196.08 and 225,040.16 is: 337,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,130.72 : 618,196.08 = 225,040.16 : x
  2. Step 2: Convert to fraction form
    412,130.72/618,196.08 = 225,040.16/x
  3. Step 3: Cross multiply
    412,130.72x = 618,196.08 × 225,040.16
  4. Step 4: Simplify right side
    412,130.72x = 139,118,944,754.57
  5. Step 5: Solve for x
    x = 139,118,944,754.57/412,130.72
  6. Step 6: Final answer
    x = 337,560.24

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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.