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Finding the Fourth Proportional to 343,301.78, 514,866.50 and 163,276.12

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Solution

The fourth proportional to 343,301.78, 514,866.50 and 163,276.12 is: 244,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,301.78 : 514,866.50 = 163,276.12 : x
  2. Step 2: Convert to fraction form
    343,301.78/514,866.50 = 163,276.12/x
  3. Step 3: Cross multiply
    343,301.78x = 514,866.50 × 163,276.12
  4. Step 4: Simplify right side
    343,301.78x = 84,065,404,437.98
  5. Step 5: Solve for x
    x = 84,065,404,437.98/343,301.78
  6. Step 6: Final answer
    x = 244,873.20

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Why These Related Problems?

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