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Finding the Fourth Proportional to 601,332.70, 829,852.53 and 343,204.48

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Solution

The fourth proportional to 601,332.70, 829,852.53 and 343,204.48 is: 473,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,332.70 : 829,852.53 = 343,204.48 : x
  2. Step 2: Convert to fraction form
    601,332.70/829,852.53 = 343,204.48/x
  3. Step 3: Cross multiply
    601,332.70x = 829,852.53 × 343,204.48
  4. Step 4: Simplify right side
    601,332.70x = 284,809,106,035.33
  5. Step 5: Solve for x
    x = 284,809,106,035.33/601,332.70
  6. Step 6: Final answer
    x = 473,629.83

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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.