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Finding the Fourth Proportional to 510,457.13, 765,706.80 and 150,627.98

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Solution

The fourth proportional to 510,457.13, 765,706.80 and 150,627.98 is: 225,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,457.13 : 765,706.80 = 150,627.98 : x
  2. Step 2: Convert to fraction form
    510,457.13/765,706.80 = 150,627.98/x
  3. Step 3: Cross multiply
    510,457.13x = 765,706.80 × 150,627.98
  4. Step 4: Simplify right side
    510,457.13x = 115,336,864,727.73
  5. Step 5: Solve for x
    x = 115,336,864,727.73/510,457.13
  6. Step 6: Final answer
    x = 225,948.19

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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.