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Finding the Fourth Proportional to 512,096.31, 706,689.09 and 282,653.55

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Solution

The fourth proportional to 512,096.31, 706,689.09 and 282,653.55 is: 390,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,096.31 : 706,689.09 = 282,653.55 : x
  2. Step 2: Convert to fraction form
    512,096.31/706,689.09 = 282,653.55/x
  3. Step 3: Cross multiply
    512,096.31x = 706,689.09 × 282,653.55
  4. Step 4: Simplify right side
    512,096.31x = 199,748,180,034.77
  5. Step 5: Solve for x
    x = 199,748,180,034.77/512,096.31
  6. Step 6: Final answer
    x = 390,059.79

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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.