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Finding the Fourth Proportional to 343,049, 514,749 and 163,337.72

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Solution

The fourth proportional to 343,049, 514,749 and 163,337.72 is: 245,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,049 : 514,749 = 163,337.72 : x
  2. Step 2: Convert to fraction form
    343,049/514,749 = 163,337.72/x
  3. Step 3: Cross multiply
    343,049x = 514,749 × 163,337.72
  4. Step 4: Simplify right side
    343,049x = 84,077,928,032.28
  5. Step 5: Solve for x
    x = 84,077,928,032.28/343,049
  6. Step 6: Final answer
    x = 245,090.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.