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Finding the Fourth Proportional to 785,911, 1,084,557.18 and 428,215

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Solution

The fourth proportional to 785,911, 1,084,557.18 and 428,215 is: 590,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,911 : 1,084,557.18 = 428,215 : x
  2. Step 2: Convert to fraction form
    785,911/1,084,557.18 = 428,215/x
  3. Step 3: Cross multiply
    785,911x = 1,084,557.18 × 428,215
  4. Step 4: Simplify right side
    785,911x = 464,423,652,833.70
  5. Step 5: Solve for x
    x = 464,423,652,833.70/785,911
  6. Step 6: Final answer
    x = 590,936.70

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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.