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Finding the Fourth Proportional to 354,602.16, 531,893.52 and 117,949.36

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Solution

The fourth proportional to 354,602.16, 531,893.52 and 117,949.36 is: 176,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,602.16 : 531,893.52 = 117,949.36 : x
  2. Step 2: Convert to fraction form
    354,602.16/531,893.52 = 117,949.36/x
  3. Step 3: Cross multiply
    354,602.16x = 531,893.52 × 117,949.36
  4. Step 4: Simplify right side
    354,602.16x = 62,736,500,272.15
  5. Step 5: Solve for x
    x = 62,736,500,272.15/354,602.16
  6. Step 6: Final answer
    x = 176,920.81

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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.