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Finding the Fourth Proportional to 541,175.62, 811,523.47 and 288,409

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Solution

The fourth proportional to 541,175.62, 811,523.47 and 288,409 is: 432,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,175.62 : 811,523.47 = 288,409 : x
  2. Step 2: Convert to fraction form
    541,175.62/811,523.47 = 288,409/x
  3. Step 3: Cross multiply
    541,175.62x = 811,523.47 × 288,409
  4. Step 4: Simplify right side
    541,175.62x = 234,050,672,459.23
  5. Step 5: Solve for x
    x = 234,050,672,459.23/541,175.62
  6. Step 6: Final answer
    x = 432,485.62

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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.