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Finding the Fourth Proportional to 385,288.34, 577,874.19 and 104,827.46

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Solution

The fourth proportional to 385,288.34, 577,874.19 and 104,827.46 is: 157,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,288.34 : 577,874.19 = 104,827.46 : x
  2. Step 2: Convert to fraction form
    385,288.34/577,874.19 = 104,827.46/x
  3. Step 3: Cross multiply
    385,288.34x = 577,874.19 × 104,827.46
  4. Step 4: Simplify right side
    385,288.34x = 60,577,083,537.26
  5. Step 5: Solve for x
    x = 60,577,083,537.26/385,288.34
  6. Step 6: Final answer
    x = 157,225.32

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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.