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Finding the Fourth Proportional to 256,283.84, 353,648.16 and 165,642.56

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Solution

The fourth proportional to 256,283.84, 353,648.16 and 165,642.56 is: 228,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,283.84 : 353,648.16 = 165,642.56 : x
  2. Step 2: Convert to fraction form
    256,283.84/353,648.16 = 165,642.56/x
  3. Step 3: Cross multiply
    256,283.84x = 353,648.16 × 165,642.56
  4. Step 4: Simplify right side
    256,283.84x = 58,579,186,561.69
  5. Step 5: Solve for x
    x = 58,579,186,561.69/256,283.84
  6. Step 6: Final answer
    x = 228,571.52

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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.