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Finding the Fourth Proportional to 598,364.07, 825,742.38 and 343,715.19

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Solution

The fourth proportional to 598,364.07, 825,742.38 and 343,715.19 is: 474,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,364.07 : 825,742.38 = 343,715.19 : x
  2. Step 2: Convert to fraction form
    598,364.07/825,742.38 = 343,715.19/x
  3. Step 3: Cross multiply
    598,364.07x = 825,742.38 × 343,715.19
  4. Step 4: Simplify right side
    598,364.07x = 283,820,199,032.75
  5. Step 5: Solve for x
    x = 283,820,199,032.75/598,364.07
  6. Step 6: Final answer
    x = 474,326.94

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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.