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Finding the Fourth Proportional to 616,530.56, 925,320.74 and 242,816

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Solution

The fourth proportional to 616,530.56, 925,320.74 and 242,816 is: 364,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,530.56 : 925,320.74 = 242,816 : x
  2. Step 2: Convert to fraction form
    616,530.56/925,320.74 = 242,816/x
  3. Step 3: Cross multiply
    616,530.56x = 925,320.74 × 242,816
  4. Step 4: Simplify right side
    616,530.56x = 224,682,680,803.84
  5. Step 5: Solve for x
    x = 224,682,680,803.84/616,530.56
  6. Step 6: Final answer
    x = 364,430.73

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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.