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Finding the Fourth Proportional to 362,015.10, 542,300.94 and 282,758.22

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Solution

The fourth proportional to 362,015.10, 542,300.94 and 282,758.22 is: 423,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,015.10 : 542,300.94 = 282,758.22 : x
  2. Step 2: Convert to fraction form
    362,015.10/542,300.94 = 282,758.22/x
  3. Step 3: Cross multiply
    362,015.10x = 542,300.94 × 282,758.22
  4. Step 4: Simplify right side
    362,015.10x = 153,340,048,498.73
  5. Step 5: Solve for x
    x = 153,340,048,498.73/362,015.10
  6. Step 6: Final answer
    x = 423,573.63

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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.