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Finding the Fourth Proportional to 285,768.16, 428,597.57 and 143,574.03

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Solution

The fourth proportional to 285,768.16, 428,597.57 and 143,574.03 is: 215,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,768.16 : 428,597.57 = 143,574.03 : x
  2. Step 2: Convert to fraction form
    285,768.16/428,597.57 = 143,574.03/x
  3. Step 3: Cross multiply
    285,768.16x = 428,597.57 × 143,574.03
  4. Step 4: Simplify right side
    285,768.16x = 61,535,480,732.04
  5. Step 5: Solve for x
    x = 61,535,480,732.04/285,768.16
  6. Step 6: Final answer
    x = 215,333.58

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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.