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Finding the Fourth Proportional to 410,833.51, 615,842.03 and 285,912.07

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Solution

The fourth proportional to 410,833.51, 615,842.03 and 285,912.07 is: 428,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,833.51 : 615,842.03 = 285,912.07 : x
  2. Step 2: Convert to fraction form
    410,833.51/615,842.03 = 285,912.07/x
  3. Step 3: Cross multiply
    410,833.51x = 615,842.03 × 285,912.07
  4. Step 4: Simplify right side
    410,833.51x = 176,076,668,160.74
  5. Step 5: Solve for x
    x = 176,076,668,160.74/410,833.51
  6. Step 6: Final answer
    x = 428,584.00

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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.