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Finding the Fourth Proportional to 343,528.16, 473,829 and 331,967.84

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Solution

The fourth proportional to 343,528.16, 473,829 and 331,967.84 is: 457,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,528.16 : 473,829 = 331,967.84 : x
  2. Step 2: Convert to fraction form
    343,528.16/473,829 = 331,967.84/x
  3. Step 3: Cross multiply
    343,528.16x = 473,829 × 331,967.84
  4. Step 4: Simplify right side
    343,528.16x = 157,295,989,659.36
  5. Step 5: Solve for x
    x = 157,295,989,659.36/343,528.16
  6. Step 6: Final answer
    x = 457,883.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.