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Finding the Fourth Proportional to 410,833.01, 615,841.28 and 285,911.57

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Solution

The fourth proportional to 410,833.01, 615,841.28 and 285,911.57 is: 428,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,833.01 : 615,841.28 = 285,911.57 : x
  2. Step 2: Convert to fraction form
    410,833.01/615,841.28 = 285,911.57/x
  3. Step 3: Cross multiply
    410,833.01x = 615,841.28 × 285,911.57
  4. Step 4: Simplify right side
    410,833.01x = 176,076,145,806.05
  5. Step 5: Solve for x
    x = 176,076,145,806.05/410,833.01
  6. Step 6: Final answer
    x = 428,583.25

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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.