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Finding the Fourth Proportional to 511,975.46, 706,521.20 and 282,534.86

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Solution

The fourth proportional to 511,975.46, 706,521.20 and 282,534.86 is: 389,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,975.46 : 706,521.20 = 282,534.86 : x
  2. Step 2: Convert to fraction form
    511,975.46/706,521.20 = 282,534.86/x
  3. Step 3: Cross multiply
    511,975.46x = 706,521.20 × 282,534.86
  4. Step 4: Simplify right side
    511,975.46x = 199,616,863,383.75
  5. Step 5: Solve for x
    x = 199,616,863,383.75/511,975.46
  6. Step 6: Final answer
    x = 389,895.38

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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.