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Finding the Fourth Proportional to 412,230.79, 569,156.66 and 257,418.60

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Solution

The fourth proportional to 412,230.79, 569,156.66 and 257,418.60 is: 355,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,230.79 : 569,156.66 = 257,418.60 : x
  2. Step 2: Convert to fraction form
    412,230.79/569,156.66 = 257,418.60/x
  3. Step 3: Cross multiply
    412,230.79x = 569,156.66 × 257,418.60
  4. Step 4: Simplify right side
    412,230.79x = 146,511,510,597.88
  5. Step 5: Solve for x
    x = 146,511,510,597.88/412,230.79
  6. Step 6: Final answer
    x = 355,411.37

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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.