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Finding the Fourth Proportional to 497,663.83, 746,495.34 and 123,686.83

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Solution

The fourth proportional to 497,663.83, 746,495.34 and 123,686.83 is: 185,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,663.83 : 746,495.34 = 123,686.83 : x
  2. Step 2: Convert to fraction form
    497,663.83/746,495.34 = 123,686.83/x
  3. Step 3: Cross multiply
    497,663.83x = 746,495.34 × 123,686.83
  4. Step 4: Simplify right side
    497,663.83x = 92,331,642,214.37
  5. Step 5: Solve for x
    x = 92,331,642,214.37/497,663.83
  6. Step 6: Final answer
    x = 185,530.14

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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.