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Finding the Fourth Proportional to 364,412.64, 546,105.02 and 172,081.82

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Solution

The fourth proportional to 364,412.64, 546,105.02 and 172,081.82 is: 257,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,412.64 : 546,105.02 = 172,081.82 : x
  2. Step 2: Convert to fraction form
    364,412.64/546,105.02 = 172,081.82/x
  3. Step 3: Cross multiply
    364,412.64x = 546,105.02 × 172,081.82
  4. Step 4: Simplify right side
    364,412.64x = 93,974,745,752.74
  5. Step 5: Solve for x
    x = 93,974,745,752.74/364,412.64
  6. Step 6: Final answer
    x = 257,880.04

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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.