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Finding the Fourth Proportional to 410,755.51, 616,203.32 and 183,133.72

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Solution

The fourth proportional to 410,755.51, 616,203.32 and 183,133.72 is: 274,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,755.51 : 616,203.32 = 183,133.72 : x
  2. Step 2: Convert to fraction form
    410,755.51/616,203.32 = 183,133.72/x
  3. Step 3: Cross multiply
    410,755.51x = 616,203.32 × 183,133.72
  4. Step 4: Simplify right side
    410,755.51x = 112,847,606,267.95
  5. Step 5: Solve for x
    x = 112,847,606,267.95/410,755.51
  6. Step 6: Final answer
    x = 274,731.81

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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.