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Finding the Fourth Proportional to 512,256.56, 706,913.64 and 282,814.16

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Solution

The fourth proportional to 512,256.56, 706,913.64 and 282,814.16 is: 390,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,256.56 : 706,913.64 = 282,814.16 : x
  2. Step 2: Convert to fraction form
    512,256.56/706,913.64 = 282,814.16/x
  3. Step 3: Cross multiply
    512,256.56x = 706,913.64 × 282,814.16
  4. Step 4: Simplify right side
    512,256.56x = 199,925,187,289.14
  5. Step 5: Solve for x
    x = 199,925,187,289.14/512,256.56
  6. Step 6: Final answer
    x = 390,283.31

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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.