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Finding the Fourth Proportional to 557,460.84, 769,257.92 and 302,806.56

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Solution

The fourth proportional to 557,460.84, 769,257.92 and 302,806.56 is: 417,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,460.84 : 769,257.92 = 302,806.56 : x
  2. Step 2: Convert to fraction form
    557,460.84/769,257.92 = 302,806.56/x
  3. Step 3: Cross multiply
    557,460.84x = 769,257.92 × 302,806.56
  4. Step 4: Simplify right side
    557,460.84x = 232,936,344,507.96
  5. Step 5: Solve for x
    x = 232,936,344,507.96/557,460.84
  6. Step 6: Final answer
    x = 417,852.39

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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.