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Finding the Fourth Proportional to 411,937.20, 616,696.20 and 307,220.40

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Solution

The fourth proportional to 411,937.20, 616,696.20 and 307,220.40 is: 459,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,937.20 : 616,696.20 = 307,220.40 : x
  2. Step 2: Convert to fraction form
    411,937.20/616,696.20 = 307,220.40/x
  3. Step 3: Cross multiply
    411,937.20x = 616,696.20 × 307,220.40
  4. Step 4: Simplify right side
    411,937.20x = 189,461,653,242.48
  5. Step 5: Solve for x
    x = 189,461,653,242.48/411,937.20
  6. Step 6: Final answer
    x = 459,928.49

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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.