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Finding the Fourth Proportional to 511,460.51, 706,117.94 and 454,714.88

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Solution

The fourth proportional to 511,460.51, 706,117.94 and 454,714.88 is: 627,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,460.51 : 706,117.94 = 454,714.88 : x
  2. Step 2: Convert to fraction form
    511,460.51/706,117.94 = 454,714.88/x
  3. Step 3: Cross multiply
    511,460.51x = 706,117.94 × 454,714.88
  4. Step 4: Simplify right side
    511,460.51x = 321,082,332,079.37
  5. Step 5: Solve for x
    x = 321,082,332,079.37/511,460.51
  6. Step 6: Final answer
    x = 627,775.41

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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.