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Finding the Fourth Proportional to 511,638.40, 706,045.44 and 285,322.24

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Solution

The fourth proportional to 511,638.40, 706,045.44 and 285,322.24 is: 393,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,638.40 : 706,045.44 = 285,322.24 : x
  2. Step 2: Convert to fraction form
    511,638.40/706,045.44 = 285,322.24/x
  3. Step 3: Cross multiply
    511,638.40x = 706,045.44 × 285,322.24
  4. Step 4: Simplify right side
    511,638.40x = 201,450,466,482.59
  5. Step 5: Solve for x
    x = 201,450,466,482.59/511,638.40
  6. Step 6: Final answer
    x = 393,736.02

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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.