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Finding the Fourth Proportional to 409,693.48, 565,379.62 and 228,417

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Solution

The fourth proportional to 409,693.48, 565,379.62 and 228,417 is: 315,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,693.48 : 565,379.62 = 228,417 : x
  2. Step 2: Convert to fraction form
    409,693.48/565,379.62 = 228,417/x
  3. Step 3: Cross multiply
    409,693.48x = 565,379.62 × 228,417
  4. Step 4: Simplify right side
    409,693.48x = 129,142,316,661.54
  5. Step 5: Solve for x
    x = 129,142,316,661.54/409,693.48
  6. Step 6: Final answer
    x = 315,216.92

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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.