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Finding the Fourth Proportional to 497,261.63, 745,755.93 and 137,346.43

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Solution

The fourth proportional to 497,261.63, 745,755.93 and 137,346.43 is: 205,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,261.63 : 745,755.93 = 137,346.43 : x
  2. Step 2: Convert to fraction form
    497,261.63/745,755.93 = 137,346.43/x
  3. Step 3: Cross multiply
    497,261.63x = 745,755.93 × 137,346.43
  4. Step 4: Simplify right side
    497,261.63x = 102,426,914,636.83
  5. Step 5: Solve for x
    x = 102,426,914,636.83/497,261.63
  6. Step 6: Final answer
    x = 205,981.94

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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.