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Finding the Fourth Proportional to 423,904.95, 584,982.09 and 232,914.24

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Solution

The fourth proportional to 423,904.95, 584,982.09 and 232,914.24 is: 321,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,904.95 : 584,982.09 = 232,914.24 : x
  2. Step 2: Convert to fraction form
    423,904.95/584,982.09 = 232,914.24/x
  3. Step 3: Cross multiply
    423,904.95x = 584,982.09 × 232,914.24
  4. Step 4: Simplify right side
    423,904.95x = 136,250,658,905.96
  5. Step 5: Solve for x
    x = 136,250,658,905.96/423,904.95
  6. Step 6: Final answer
    x = 321,417.95

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