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Finding the Fourth Proportional to 787,570, 1,086,846.60 and 429,874

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Solution

The fourth proportional to 787,570, 1,086,846.60 and 429,874 is: 593,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,570 : 1,086,846.60 = 429,874 : x
  2. Step 2: Convert to fraction form
    787,570/1,086,846.60 = 429,874/x
  3. Step 3: Cross multiply
    787,570x = 1,086,846.60 × 429,874
  4. Step 4: Simplify right side
    787,570x = 467,207,095,328.40
  5. Step 5: Solve for x
    x = 467,207,095,328.40/787,570
  6. Step 6: Final answer
    x = 593,226.12

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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.