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Finding the Fourth Proportional to 590,442.74, 814,812.85 and 335,811.70

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Solution

The fourth proportional to 590,442.74, 814,812.85 and 335,811.70 is: 463,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,442.74 : 814,812.85 = 335,811.70 : x
  2. Step 2: Convert to fraction form
    590,442.74/814,812.85 = 335,811.70/x
  3. Step 3: Cross multiply
    590,442.74x = 814,812.85 × 335,811.70
  4. Step 4: Simplify right side
    590,442.74x = 273,623,688,340.35
  5. Step 5: Solve for x
    x = 273,623,688,340.35/590,442.74
  6. Step 6: Final answer
    x = 463,421.21

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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.