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Finding the Fourth Proportional to 590,289.53, 814,595.78 and 335,640.71

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Solution

The fourth proportional to 590,289.53, 814,595.78 and 335,640.71 is: 463,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,289.53 : 814,595.78 = 335,640.71 : x
  2. Step 2: Convert to fraction form
    590,289.53/814,595.78 = 335,640.71/x
  3. Step 3: Cross multiply
    590,289.53x = 814,595.78 × 335,640.71
  4. Step 4: Simplify right side
    590,289.53x = 273,411,500,211.02
  5. Step 5: Solve for x
    x = 273,411,500,211.02/590,289.53
  6. Step 6: Final answer
    x = 463,182.03

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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.