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Finding the Fourth Proportional to 336,474, 464,343.84 and 185,580.72

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Solution

The fourth proportional to 336,474, 464,343.84 and 185,580.72 is: 256,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,474 : 464,343.84 = 185,580.72 : x
  2. Step 2: Convert to fraction form
    336,474/464,343.84 = 185,580.72/x
  3. Step 3: Cross multiply
    336,474x = 464,343.84 × 185,580.72
  4. Step 4: Simplify right side
    336,474x = 86,173,264,154.76
  5. Step 5: Solve for x
    x = 86,173,264,154.76/336,474
  6. Step 6: Final answer
    x = 256,106.75

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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.