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Finding the Fourth Proportional to 511,847.52, 706,352.04 and 282,404.79

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Solution

The fourth proportional to 511,847.52, 706,352.04 and 282,404.79 is: 389,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,847.52 : 706,352.04 = 282,404.79 : x
  2. Step 2: Convert to fraction form
    511,847.52/706,352.04 = 282,404.79/x
  3. Step 3: Cross multiply
    511,847.52x = 706,352.04 × 282,404.79
  4. Step 4: Simplify right side
    511,847.52x = 199,477,199,522.27
  5. Step 5: Solve for x
    x = 199,477,199,522.27/511,847.52
  6. Step 6: Final answer
    x = 389,719.97

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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.