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Finding the Fourth Proportional to 413,014.59, 619,528.68 and 113,493.30

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Solution

The fourth proportional to 413,014.59, 619,528.68 and 113,493.30 is: 170,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,014.59 : 619,528.68 = 113,493.30 : x
  2. Step 2: Convert to fraction form
    413,014.59/619,528.68 = 113,493.30/x
  3. Step 3: Cross multiply
    413,014.59x = 619,528.68 × 113,493.30
  4. Step 4: Simplify right side
    413,014.59x = 70,312,354,337.84
  5. Step 5: Solve for x
    x = 70,312,354,337.84/413,014.59
  6. Step 6: Final answer
    x = 170,241.82

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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.