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Finding the Fourth Proportional to 413,915.32, 620,353.86 and 176,979.88

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Solution

The fourth proportional to 413,915.32, 620,353.86 and 176,979.88 is: 265,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,915.32 : 620,353.86 = 176,979.88 : x
  2. Step 2: Convert to fraction form
    413,915.32/620,353.86 = 176,979.88/x
  3. Step 3: Cross multiply
    413,915.32x = 620,353.86 × 176,979.88
  4. Step 4: Simplify right side
    413,915.32x = 109,790,151,700.34
  5. Step 5: Solve for x
    x = 109,790,151,700.34/413,915.32
  6. Step 6: Final answer
    x = 265,247.86

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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.