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Finding the Fourth Proportional to 405,686.80, 559,869.04 and 233,630.88

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Solution

The fourth proportional to 405,686.80, 559,869.04 and 233,630.88 is: 322,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686.80 : 559,869.04 = 233,630.88 : x
  2. Step 2: Convert to fraction form
    405,686.80/559,869.04 = 233,630.88/x
  3. Step 3: Cross multiply
    405,686.80x = 559,869.04 × 233,630.88
  4. Step 4: Simplify right side
    405,686.80x = 130,802,696,499.96
  5. Step 5: Solve for x
    x = 130,802,696,499.96/405,686.80
  6. Step 6: Final answer
    x = 322,422.86

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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.