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Finding the Fourth Proportional to 343,126.33, 514,705.92 and 165,782.50

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Solution

The fourth proportional to 343,126.33, 514,705.92 and 165,782.50 is: 248,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,126.33 : 514,705.92 = 165,782.50 : x
  2. Step 2: Convert to fraction form
    343,126.33/514,705.92 = 165,782.50/x
  3. Step 3: Cross multiply
    343,126.33x = 514,705.92 × 165,782.50
  4. Step 4: Simplify right side
    343,126.33x = 85,329,234,182.40
  5. Step 5: Solve for x
    x = 85,329,234,182.40/343,126.33
  6. Step 6: Final answer
    x = 248,681.69

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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.