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Finding the Fourth Proportional to 349,224.16, 482,078.64 and 242,148.64

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Solution

The fourth proportional to 349,224.16, 482,078.64 and 242,148.64 is: 334,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,224.16 : 482,078.64 = 242,148.64 : x
  2. Step 2: Convert to fraction form
    349,224.16/482,078.64 = 242,148.64/x
  3. Step 3: Cross multiply
    349,224.16x = 482,078.64 × 242,148.64
  4. Step 4: Simplify right side
    349,224.16x = 116,734,687,049.05
  5. Step 5: Solve for x
    x = 116,734,687,049.05/349,224.16
  6. Step 6: Final answer
    x = 334,268.65

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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.