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Finding the Fourth Proportional to 841,825.85, 1,161,745.13 and 459,877.23

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Solution

The fourth proportional to 841,825.85, 1,161,745.13 and 459,877.23 is: 634,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,825.85 : 1,161,745.13 = 459,877.23 : x
  2. Step 2: Convert to fraction form
    841,825.85/1,161,745.13 = 459,877.23/x
  3. Step 3: Cross multiply
    841,825.85x = 1,161,745.13 × 459,877.23
  4. Step 4: Simplify right side
    841,825.85x = 534,260,133,500.08
  5. Step 5: Solve for x
    x = 534,260,133,500.08/841,825.85
  6. Step 6: Final answer
    x = 634,644.49

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