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Finding the Fourth Proportional to 413,678.75, 620,210.52 and 173,863.06

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Solution

The fourth proportional to 413,678.75, 620,210.52 and 173,863.06 is: 260,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,678.75 : 620,210.52 = 173,863.06 : x
  2. Step 2: Convert to fraction form
    413,678.75/620,210.52 = 173,863.06/x
  3. Step 3: Cross multiply
    413,678.75x = 620,210.52 × 173,863.06
  4. Step 4: Simplify right side
    413,678.75x = 107,831,697,300.87
  5. Step 5: Solve for x
    x = 107,831,697,300.87/413,678.75
  6. Step 6: Final answer
    x = 260,665.31

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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.