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Finding the Fourth Proportional to 423,941.29, 585,032.33 and 232,950.58

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Solution

The fourth proportional to 423,941.29, 585,032.33 and 232,950.58 is: 321,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,941.29 : 585,032.33 = 232,950.58 : x
  2. Step 2: Convert to fraction form
    423,941.29/585,032.33 = 232,950.58/x
  3. Step 3: Cross multiply
    423,941.29x = 585,032.33 × 232,950.58
  4. Step 4: Simplify right side
    423,941.29x = 136,283,616,502.34
  5. Step 5: Solve for x
    x = 136,283,616,502.34/423,941.29
  6. Step 6: Final answer
    x = 321,468.14

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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.