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Finding the Fourth Proportional to 256,677.94, 384,063.51 and 161,463.48

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Solution

The fourth proportional to 256,677.94, 384,063.51 and 161,463.48 is: 241,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,677.94 : 384,063.51 = 161,463.48 : x
  2. Step 2: Convert to fraction form
    256,677.94/384,063.51 = 161,463.48/x
  3. Step 3: Cross multiply
    256,677.94x = 384,063.51 × 161,463.48
  4. Step 4: Simplify right side
    256,677.94x = 62,012,229,803.81
  5. Step 5: Solve for x
    x = 62,012,229,803.81/256,677.94
  6. Step 6: Final answer
    x = 241,595.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.