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Finding the Fourth Proportional to 412,059.44, 568,595.04 and 230,746.16

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Solution

The fourth proportional to 412,059.44, 568,595.04 and 230,746.16 is: 318,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,059.44 : 568,595.04 = 230,746.16 : x
  2. Step 2: Convert to fraction form
    412,059.44/568,595.04 = 230,746.16/x
  3. Step 3: Cross multiply
    412,059.44x = 568,595.04 × 230,746.16
  4. Step 4: Simplify right side
    412,059.44x = 131,201,122,075.05
  5. Step 5: Solve for x
    x = 131,201,122,075.05/412,059.44
  6. Step 6: Final answer
    x = 318,403.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.