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Finding the Fourth Proportional to 516,492.96, 774,784.08 and 142,515.96

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Solution

The fourth proportional to 516,492.96, 774,784.08 and 142,515.96 is: 213,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,492.96 : 774,784.08 = 142,515.96 : x
  2. Step 2: Convert to fraction form
    516,492.96/774,784.08 = 142,515.96/x
  3. Step 3: Cross multiply
    516,492.96x = 774,784.08 × 142,515.96
  4. Step 4: Simplify right side
    516,492.96x = 110,419,096,953.92
  5. Step 5: Solve for x
    x = 110,419,096,953.92/516,492.96
  6. Step 6: Final answer
    x = 213,786.26

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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.