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Finding the Fourth Proportional to 424,504, 585,777.12 and 233,525.44

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Solution

The fourth proportional to 424,504, 585,777.12 and 233,525.44 is: 322,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,504 : 585,777.12 = 233,525.44 : x
  2. Step 2: Convert to fraction form
    424,504/585,777.12 = 233,525.44/x
  3. Step 3: Cross multiply
    424,504x = 585,777.12 × 233,525.44
  4. Step 4: Simplify right side
    424,504x = 136,793,859,689.93
  5. Step 5: Solve for x
    x = 136,793,859,689.93/424,504
  6. Step 6: Final answer
    x = 322,243.98

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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.