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Finding the Fourth Proportional to 432,585.31, 596,881.03 and 241,569.31

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Solution

The fourth proportional to 432,585.31, 596,881.03 and 241,569.31 is: 333,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,585.31 : 596,881.03 = 241,569.31 : x
  2. Step 2: Convert to fraction form
    432,585.31/596,881.03 = 241,569.31/x
  3. Step 3: Cross multiply
    432,585.31x = 596,881.03 × 241,569.31
  4. Step 4: Simplify right side
    432,585.31x = 144,188,138,569.19
  5. Step 5: Solve for x
    x = 144,188,138,569.19/432,585.31
  6. Step 6: Final answer
    x = 333,317.23

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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.