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Finding the Fourth Proportional to 511,178.94, 705,426.96 and 296,443.54

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Solution

The fourth proportional to 511,178.94, 705,426.96 and 296,443.54 is: 409,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,178.94 : 705,426.96 = 296,443.54 : x
  2. Step 2: Convert to fraction form
    511,178.94/705,426.96 = 296,443.54/x
  3. Step 3: Cross multiply
    511,178.94x = 705,426.96 × 296,443.54
  4. Step 4: Simplify right side
    511,178.94x = 209,119,265,233.84
  5. Step 5: Solve for x
    x = 209,119,265,233.84/511,178.94
  6. Step 6: Final answer
    x = 409,092.10

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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.