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Finding the Fourth Proportional to 786,050.25, 1,083,978.73 and 499,072.11

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Solution

The fourth proportional to 786,050.25, 1,083,978.73 and 499,072.11 is: 688,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,050.25 : 1,083,978.73 = 499,072.11 : x
  2. Step 2: Convert to fraction form
    786,050.25/1,083,978.73 = 499,072.11/x
  3. Step 3: Cross multiply
    786,050.25x = 1,083,978.73 × 499,072.11
  4. Step 4: Simplify right side
    786,050.25x = 540,983,551,976.22
  5. Step 5: Solve for x
    x = 540,983,551,976.22/786,050.25
  6. Step 6: Final answer
    x = 688,230.24

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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.