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Finding the Fourth Proportional to 557,384.10, 769,508.74 and 366,951.07

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Solution

The fourth proportional to 557,384.10, 769,508.74 and 366,951.07 is: 506,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,384.10 : 769,508.74 = 366,951.07 : x
  2. Step 2: Convert to fraction form
    557,384.10/769,508.74 = 366,951.07/x
  3. Step 3: Cross multiply
    557,384.10x = 769,508.74 × 366,951.07
  4. Step 4: Simplify right side
    557,384.10x = 282,372,055,517.35
  5. Step 5: Solve for x
    x = 282,372,055,517.35/557,384.10
  6. Step 6: Final answer
    x = 506,602.28

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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.