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Finding the Fourth Proportional to 475,396.16, 712,943.60 and 155,474.10

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Solution

The fourth proportional to 475,396.16, 712,943.60 and 155,474.10 is: 233,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,396.16 : 712,943.60 = 155,474.10 : x
  2. Step 2: Convert to fraction form
    475,396.16/712,943.60 = 155,474.10/x
  3. Step 3: Cross multiply
    475,396.16x = 712,943.60 × 155,474.10
  4. Step 4: Simplify right side
    475,396.16x = 110,844,264,560.76
  5. Step 5: Solve for x
    x = 110,844,264,560.76/475,396.16
  6. Step 6: Final answer
    x = 233,161.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.