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Finding the Fourth Proportional to 412,113.64, 568,994.52 and 257,300.87

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Solution

The fourth proportional to 412,113.64, 568,994.52 and 257,300.87 is: 355,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,113.64 : 568,994.52 = 257,300.87 : x
  2. Step 2: Convert to fraction form
    412,113.64/568,994.52 = 257,300.87/x
  3. Step 3: Cross multiply
    412,113.64x = 568,994.52 × 257,300.87
  4. Step 4: Simplify right side
    412,113.64x = 146,402,783,734.73
  5. Step 5: Solve for x
    x = 146,402,783,734.73/412,113.64
  6. Step 6: Final answer
    x = 355,248.58

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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.