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Finding the Fourth Proportional to 786,235.10, 1,084,662.90 and 499,601.39

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Solution

The fourth proportional to 786,235.10, 1,084,662.90 and 499,601.39 is: 689,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,235.10 : 1,084,662.90 = 499,601.39 : x
  2. Step 2: Convert to fraction form
    786,235.10/1,084,662.90 = 499,601.39/x
  3. Step 3: Cross multiply
    786,235.10x = 1,084,662.90 × 499,601.39
  4. Step 4: Simplify right side
    786,235.10x = 541,899,087,098.12
  5. Step 5: Solve for x
    x = 541,899,087,098.12/786,235.10
  6. Step 6: Final answer
    x = 689,232.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.