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Finding the Fourth Proportional to 496,435.84, 744,964.80 and 200,947.84

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Solution

The fourth proportional to 496,435.84, 744,964.80 and 200,947.84 is: 301,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,435.84 : 744,964.80 = 200,947.84 : x
  2. Step 2: Convert to fraction form
    496,435.84/744,964.80 = 200,947.84/x
  3. Step 3: Cross multiply
    496,435.84x = 744,964.80 × 200,947.84
  4. Step 4: Simplify right side
    496,435.84x = 149,699,067,436.03
  5. Step 5: Solve for x
    x = 149,699,067,436.03/496,435.84
  6. Step 6: Final answer
    x = 301,547.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.