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Finding the Fourth Proportional to 589,564.63, 813,554.43 and 331,400.51

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Solution

The fourth proportional to 589,564.63, 813,554.43 and 331,400.51 is: 457,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,564.63 : 813,554.43 = 331,400.51 : x
  2. Step 2: Convert to fraction form
    589,564.63/813,554.43 = 331,400.51/x
  3. Step 3: Cross multiply
    589,564.63x = 813,554.43 × 331,400.51
  4. Step 4: Simplify right side
    589,564.63x = 269,612,357,195.44
  5. Step 5: Solve for x
    x = 269,612,357,195.44/589,564.63
  6. Step 6: Final answer
    x = 457,307.55

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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.