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Finding the Fourth Proportional to 343,009.44, 514,689.60 and 163,297.92

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Solution

The fourth proportional to 343,009.44, 514,689.60 and 163,297.92 is: 245,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,009.44 : 514,689.60 = 163,297.92 : x
  2. Step 2: Convert to fraction form
    343,009.44/514,689.60 = 163,297.92/x
  3. Step 3: Cross multiply
    343,009.44x = 514,689.60 × 163,297.92
  4. Step 4: Simplify right side
    343,009.44x = 84,047,741,125.63
  5. Step 5: Solve for x
    x = 84,047,741,125.63/343,009.44
  6. Step 6: Final answer
    x = 245,030.40

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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.