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Finding the Fourth Proportional to 343,335.40, 514,857.30 and 165,896.80

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Solution

The fourth proportional to 343,335.40, 514,857.30 and 165,896.80 is: 248,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,335.40 : 514,857.30 = 165,896.80 : x
  2. Step 2: Convert to fraction form
    343,335.40/514,857.30 = 165,896.80/x
  3. Step 3: Cross multiply
    343,335.40x = 514,857.30 × 165,896.80
  4. Step 4: Simplify right side
    343,335.40x = 85,413,178,526.64
  5. Step 5: Solve for x
    x = 85,413,178,526.64/343,335.40
  6. Step 6: Final answer
    x = 248,774.75

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1.5x scale

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.