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Finding the Fourth Proportional to 437,951.76, 604,537.32 and 340,963.44

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Solution

The fourth proportional to 437,951.76, 604,537.32 and 340,963.44 is: 470,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,951.76 : 604,537.32 = 340,963.44 : x
  2. Step 2: Convert to fraction form
    437,951.76/604,537.32 = 340,963.44/x
  3. Step 3: Cross multiply
    437,951.76x = 604,537.32 × 340,963.44
  4. Step 4: Simplify right side
    437,951.76x = 206,125,124,235.58
  5. Step 5: Solve for x
    x = 206,125,124,235.58/437,951.76
  6. Step 6: Final answer
    x = 470,657.14

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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.