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Finding the Fourth Proportional to 511,180.94, 705,429.72 and 296,445.54

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Solution

The fourth proportional to 511,180.94, 705,429.72 and 296,445.54 is: 409,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,180.94 : 705,429.72 = 296,445.54 : x
  2. Step 2: Convert to fraction form
    511,180.94/705,429.72 = 296,445.54/x
  3. Step 3: Cross multiply
    511,180.94x = 705,429.72 × 296,445.54
  4. Step 4: Simplify right side
    511,180.94x = 209,121,494,277.45
  5. Step 5: Solve for x
    x = 209,121,494,277.45/511,180.94
  6. Step 6: Final answer
    x = 409,094.86

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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.