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Finding the Fourth Proportional to 511,205.90, 705,494.95 and 281,762.87

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Solution

The fourth proportional to 511,205.90, 705,494.95 and 281,762.87 is: 388,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,205.90 : 705,494.95 = 281,762.87 : x
  2. Step 2: Convert to fraction form
    511,205.90/705,494.95 = 281,762.87/x
  3. Step 3: Cross multiply
    511,205.90x = 705,494.95 × 281,762.87
  4. Step 4: Simplify right side
    511,205.90x = 198,782,277,650.63
  5. Step 5: Solve for x
    x = 198,782,277,650.63/511,205.90
  6. Step 6: Final answer
    x = 388,849.74

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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.