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Finding the Fourth Proportional to 523,609.46, 722,583.95 and 294,176.42

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Solution

The fourth proportional to 523,609.46, 722,583.95 and 294,176.42 is: 405,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,609.46 : 722,583.95 = 294,176.42 : x
  2. Step 2: Convert to fraction form
    523,609.46/722,583.95 = 294,176.42/x
  3. Step 3: Cross multiply
    523,609.46x = 722,583.95 × 294,176.42
  4. Step 4: Simplify right side
    523,609.46x = 212,567,154,476.66
  5. Step 5: Solve for x
    x = 212,567,154,476.66/523,609.46
  6. Step 6: Final answer
    x = 405,965.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.