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Finding the Fourth Proportional to 512,183.40, 706,852.26 and 282,784.92

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Solution

The fourth proportional to 512,183.40, 706,852.26 and 282,784.92 is: 390,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,183.40 : 706,852.26 = 282,784.92 : x
  2. Step 2: Convert to fraction form
    512,183.40/706,852.26 = 282,784.92/x
  3. Step 3: Cross multiply
    512,183.40x = 706,852.26 × 282,784.92
  4. Step 4: Simplify right side
    512,183.40x = 199,887,159,795.92
  5. Step 5: Solve for x
    x = 199,887,159,795.92/512,183.40
  6. Step 6: Final answer
    x = 390,264.81

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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.