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Finding the Fourth Proportional to 511,408.13, 706,045.95 and 454,662.77

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Solution

The fourth proportional to 511,408.13, 706,045.95 and 454,662.77 is: 627,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,408.13 : 706,045.95 = 454,662.77 : x
  2. Step 2: Convert to fraction form
    511,408.13/706,045.95 = 454,662.77/x
  3. Step 3: Cross multiply
    511,408.13x = 706,045.95 × 454,662.77
  4. Step 4: Simplify right side
    511,408.13x = 321,012,803,844.05
  5. Step 5: Solve for x
    x = 321,012,803,844.05/511,408.13
  6. Step 6: Final answer
    x = 627,703.76

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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.