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Finding the Fourth Proportional to 423,891.04, 584,969.16 and 232,903.96

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Solution

The fourth proportional to 423,891.04, 584,969.16 and 232,903.96 is: 321,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,891.04 : 584,969.16 = 232,903.96 : x
  2. Step 2: Convert to fraction form
    423,891.04/584,969.16 = 232,903.96/x
  3. Step 3: Cross multiply
    423,891.04x = 584,969.16 × 232,903.96
  4. Step 4: Simplify right side
    423,891.04x = 136,241,633,841.87
  5. Step 5: Solve for x
    x = 136,241,633,841.87/423,891.04
  6. Step 6: Final answer
    x = 321,407.20

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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.