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Finding the Fourth Proportional to 512,182.51, 706,850.97 and 282,783.93

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Solution

The fourth proportional to 512,182.51, 706,850.97 and 282,783.93 is: 390,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,182.51 : 706,850.97 = 282,783.93 : x
  2. Step 2: Convert to fraction form
    512,182.51/706,850.97 = 282,783.93/x
  3. Step 3: Cross multiply
    512,182.51x = 706,850.97 × 282,783.93
  4. Step 4: Simplify right side
    512,182.51x = 199,886,093,806.99
  5. Step 5: Solve for x
    x = 199,886,093,806.99/512,182.51
  6. Step 6: Final answer
    x = 390,263.41

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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.