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Finding the Fourth Proportional to 349,462.43, 523,425.29 and 288,803.43

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Solution

The fourth proportional to 349,462.43, 523,425.29 and 288,803.43 is: 432,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,462.43 : 523,425.29 = 288,803.43 : x
  2. Step 2: Convert to fraction form
    349,462.43/523,425.29 = 288,803.43/x
  3. Step 3: Cross multiply
    349,462.43x = 523,425.29 × 288,803.43
  4. Step 4: Simplify right side
    349,462.43x = 151,167,017,656.73
  5. Step 5: Solve for x
    x = 151,167,017,656.73/349,462.43
  6. Step 6: Final answer
    x = 432,570.16

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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.