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Finding the Fourth Proportional to 616,529.56, 925,319.24 and 242,815

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Solution

The fourth proportional to 616,529.56, 925,319.24 and 242,815 is: 364,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,529.56 : 925,319.24 = 242,815 : x
  2. Step 2: Convert to fraction form
    616,529.56/925,319.24 = 242,815/x
  3. Step 3: Cross multiply
    616,529.56x = 925,319.24 × 242,815
  4. Step 4: Simplify right side
    616,529.56x = 224,681,391,260.60
  5. Step 5: Solve for x
    x = 224,681,391,260.60/616,529.56
  6. Step 6: Final answer
    x = 364,429.23

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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.