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Finding the Fourth Proportional to 590,289.63, 814,595.93 and 335,640.84

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Solution

The fourth proportional to 590,289.63, 814,595.93 and 335,640.84 is: 463,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,289.63 : 814,595.93 = 335,640.84 : x
  2. Step 2: Convert to fraction form
    590,289.63/814,595.93 = 335,640.84/x
  3. Step 3: Cross multiply
    590,289.63x = 814,595.93 × 335,640.84
  4. Step 4: Simplify right side
    590,289.63x = 273,411,666,099.62
  5. Step 5: Solve for x
    x = 273,411,666,099.62/590,289.63
  6. Step 6: Final answer
    x = 463,182.23

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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.