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Finding the Fourth Proportional to 411,144.48, 616,787.04 and 141,259.68

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Solution

The fourth proportional to 411,144.48, 616,787.04 and 141,259.68 is: 211,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,144.48 : 616,787.04 = 141,259.68 : x
  2. Step 2: Convert to fraction form
    411,144.48/616,787.04 = 141,259.68/x
  3. Step 3: Cross multiply
    411,144.48x = 616,787.04 × 141,259.68
  4. Step 4: Simplify right side
    411,144.48x = 87,127,139,898.55
  5. Step 5: Solve for x
    x = 87,127,139,898.55/411,144.48
  6. Step 6: Final answer
    x = 211,913.68

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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.