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Finding the Fourth Proportional to 512,040.84, 706,611.24 and 282,600.24

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Solution

The fourth proportional to 512,040.84, 706,611.24 and 282,600.24 is: 389,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,040.84 : 706,611.24 = 282,600.24 : x
  2. Step 2: Convert to fraction form
    512,040.84/706,611.24 = 282,600.24/x
  3. Step 3: Cross multiply
    512,040.84x = 706,611.24 × 282,600.24
  4. Step 4: Simplify right side
    512,040.84x = 199,688,506,010.70
  5. Step 5: Solve for x
    x = 199,688,506,010.70/512,040.84
  6. Step 6: Final answer
    x = 389,985.51

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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.