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Finding the Fourth Proportional to 511,416.54, 706,057.56 and 454,671.18

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Solution

The fourth proportional to 511,416.54, 706,057.56 and 454,671.18 is: 627,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,416.54 : 706,057.56 = 454,671.18 : x
  2. Step 2: Convert to fraction form
    511,416.54/706,057.56 = 454,671.18/x
  3. Step 3: Cross multiply
    511,416.54x = 706,057.56 × 454,671.18
  4. Step 4: Simplify right side
    511,416.54x = 321,024,023,953.12
  5. Step 5: Solve for x
    x = 321,024,023,953.12/511,416.54
  6. Step 6: Final answer
    x = 627,715.37

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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.