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Finding the Fourth Proportional to 425,185.84, 586,758.06 and 234,198.76

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Solution

The fourth proportional to 425,185.84, 586,758.06 and 234,198.76 is: 323,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,185.84 : 586,758.06 = 234,198.76 : x
  2. Step 2: Convert to fraction form
    425,185.84/586,758.06 = 234,198.76/x
  3. Step 3: Cross multiply
    425,185.84x = 586,758.06 × 234,198.76
  4. Step 4: Simplify right side
    425,185.84x = 137,418,010,072.01
  5. Step 5: Solve for x
    x = 137,418,010,072.01/425,185.84
  6. Step 6: Final answer
    x = 323,195.17

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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.