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Finding the Fourth Proportional to 461,433.51, 636,777.38 and 257,472.14

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Solution

The fourth proportional to 461,433.51, 636,777.38 and 257,472.14 is: 355,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,433.51 : 636,777.38 = 257,472.14 : x
  2. Step 2: Convert to fraction form
    461,433.51/636,777.38 = 257,472.14/x
  3. Step 3: Cross multiply
    461,433.51x = 636,777.38 × 257,472.14
  4. Step 4: Simplify right side
    461,433.51x = 163,952,432,191.99
  5. Step 5: Solve for x
    x = 163,952,432,191.99/461,433.51
  6. Step 6: Final answer
    x = 355,311.07

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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.