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Finding the Fourth Proportional to 510,014.64, 765,013.32 and 177,582

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Solution

The fourth proportional to 510,014.64, 765,013.32 and 177,582 is: 266,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,014.64 : 765,013.32 = 177,582 : x
  2. Step 2: Convert to fraction form
    510,014.64/765,013.32 = 177,582/x
  3. Step 3: Cross multiply
    510,014.64x = 765,013.32 × 177,582
  4. Step 4: Simplify right side
    510,014.64x = 135,852,595,392.24
  5. Step 5: Solve for x
    x = 135,852,595,392.24/510,014.64
  6. Step 6: Final answer
    x = 266,369.99

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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.