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Finding the Fourth Proportional to 430,592, 594,216.96 and 242,176

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Solution

The fourth proportional to 430,592, 594,216.96 and 242,176 is: 334,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,592 : 594,216.96 = 242,176 : x
  2. Step 2: Convert to fraction form
    430,592/594,216.96 = 242,176/x
  3. Step 3: Cross multiply
    430,592x = 594,216.96 × 242,176
  4. Step 4: Simplify right side
    430,592x = 143,905,086,504.96
  5. Step 5: Solve for x
    x = 143,905,086,504.96/430,592
  6. Step 6: Final answer
    x = 334,202.88

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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.