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Finding the Fourth Proportional to 590,084.60, 814,176.78 and 335,415.74

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Solution

The fourth proportional to 590,084.60, 814,176.78 and 335,415.74 is: 462,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,084.60 : 814,176.78 = 335,415.74 : x
  2. Step 2: Convert to fraction form
    590,084.60/814,176.78 = 335,415.74/x
  3. Step 3: Cross multiply
    590,084.60x = 814,176.78 × 335,415.74
  4. Step 4: Simplify right side
    590,084.60x = 273,087,707,154.52
  5. Step 5: Solve for x
    x = 273,087,707,154.52/590,084.60
  6. Step 6: Final answer
    x = 462,794.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.