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Finding the Fourth Proportional to 415,737.10, 573,703.23 and 262,857.58

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Solution

The fourth proportional to 415,737.10, 573,703.23 and 262,857.58 is: 362,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,737.10 : 573,703.23 = 262,857.58 : x
  2. Step 2: Convert to fraction form
    415,737.10/573,703.23 = 262,857.58/x
  3. Step 3: Cross multiply
    415,737.10x = 573,703.23 × 262,857.58
  4. Step 4: Simplify right side
    415,737.10x = 150,802,242,675.98
  5. Step 5: Solve for x
    x = 150,802,242,675.98/415,737.10
  6. Step 6: Final answer
    x = 362,734.63

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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.