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Finding the Fourth Proportional to 511,464.76, 706,123.80 and 454,719.13

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Solution

The fourth proportional to 511,464.76, 706,123.80 and 454,719.13 is: 627,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,464.76 : 706,123.80 = 454,719.13 : x
  2. Step 2: Convert to fraction form
    511,464.76/706,123.80 = 454,719.13/x
  3. Step 3: Cross multiply
    511,464.76x = 706,123.80 × 454,719.13
  4. Step 4: Simplify right side
    511,464.76x = 321,088,000,008.29
  5. Step 5: Solve for x
    x = 321,088,000,008.29/511,464.76
  6. Step 6: Final answer
    x = 627,781.28

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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.