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Finding the Fourth Proportional to 285,819.06, 428,728.74 and 72,602.94

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Solution

The fourth proportional to 285,819.06, 428,728.74 and 72,602.94 is: 108,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,819.06 : 428,728.74 = 72,602.94 : x
  2. Step 2: Convert to fraction form
    285,819.06/428,728.74 = 72,602.94/x
  3. Step 3: Cross multiply
    285,819.06x = 428,728.74 × 72,602.94
  4. Step 4: Simplify right side
    285,819.06x = 31,126,966,986.50
  5. Step 5: Solve for x
    x = 31,126,966,986.50/285,819.06
  6. Step 6: Final answer
    x = 108,904.45

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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.