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Finding the Fourth Proportional to 364,497.12, 503,006.40 and 213,594

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Solution

The fourth proportional to 364,497.12, 503,006.40 and 213,594 is: 294,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,497.12 : 503,006.40 = 213,594 : x
  2. Step 2: Convert to fraction form
    364,497.12/503,006.40 = 213,594/x
  3. Step 3: Cross multiply
    364,497.12x = 503,006.40 × 213,594
  4. Step 4: Simplify right side
    364,497.12x = 107,439,149,001.60
  5. Step 5: Solve for x
    x = 107,439,149,001.60/364,497.12
  6. Step 6: Final answer
    x = 294,759.94

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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.