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Finding the Fourth Proportional to 511,177.60, 705,429.84 and 281,743.24

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Solution

The fourth proportional to 511,177.60, 705,429.84 and 281,743.24 is: 388,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,177.60 : 705,429.84 = 281,743.24 : x
  2. Step 2: Convert to fraction form
    511,177.60/705,429.84 = 281,743.24/x
  3. Step 3: Cross multiply
    511,177.60x = 705,429.84 × 281,743.24
  4. Step 4: Simplify right side
    511,177.60x = 198,750,088,714.28
  5. Step 5: Solve for x
    x = 198,750,088,714.28/511,177.60
  6. Step 6: Final answer
    x = 388,808.29

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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.