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Finding the Fourth Proportional to 415,198.01, 573,114.74 and 258,156.83

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Solution

The fourth proportional to 415,198.01, 573,114.74 and 258,156.83 is: 356,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,198.01 : 573,114.74 = 258,156.83 : x
  2. Step 2: Convert to fraction form
    415,198.01/573,114.74 = 258,156.83/x
  3. Step 3: Cross multiply
    415,198.01x = 573,114.74 × 258,156.83
  4. Step 4: Simplify right side
    415,198.01x = 147,953,480,348.32
  5. Step 5: Solve for x
    x = 147,953,480,348.32/415,198.01
  6. Step 6: Final answer
    x = 356,344.39

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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.