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Finding the Fourth Proportional to 820,416.15, 1,132,144.76 and 514,657.15

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Solution

The fourth proportional to 820,416.15, 1,132,144.76 and 514,657.15 is: 710,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,416.15 : 1,132,144.76 = 514,657.15 : x
  2. Step 2: Convert to fraction form
    820,416.15/1,132,144.76 = 514,657.15/x
  3. Step 3: Cross multiply
    820,416.15x = 1,132,144.76 × 514,657.15
  4. Step 4: Simplify right side
    820,416.15x = 582,666,394,025.32
  5. Step 5: Solve for x
    x = 582,666,394,025.32/820,416.15
  6. Step 6: Final answer
    x = 710,208.34

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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.