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Finding the Fourth Proportional to 349,536, 523,176.24 and 180,824.04

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Solution

The fourth proportional to 349,536, 523,176.24 and 180,824.04 is: 270,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,536 : 523,176.24 = 180,824.04 : x
  2. Step 2: Convert to fraction form
    349,536/523,176.24 = 180,824.04/x
  3. Step 3: Cross multiply
    349,536x = 523,176.24 × 180,824.04
  4. Step 4: Simplify right side
    349,536x = 94,602,841,348.81
  5. Step 5: Solve for x
    x = 94,602,841,348.81/349,536
  6. Step 6: Final answer
    x = 270,652.64

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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.