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Finding the Fourth Proportional to 675,961.34, 931,832.83 and 514,535.23

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Solution

The fourth proportional to 675,961.34, 931,832.83 and 514,535.23 is: 709,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,961.34 : 931,832.83 = 514,535.23 : x
  2. Step 2: Convert to fraction form
    675,961.34/931,832.83 = 514,535.23/x
  3. Step 3: Cross multiply
    675,961.34x = 931,832.83 × 514,535.23
  4. Step 4: Simplify right side
    675,961.34x = 479,460,815,889.68
  5. Step 5: Solve for x
    x = 479,460,815,889.68/675,961.34
  6. Step 6: Final answer
    x = 709,302.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.