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Finding the Fourth Proportional to 461,859.81, 637,310.32 and 257,922.06

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Solution

The fourth proportional to 461,859.81, 637,310.32 and 257,922.06 is: 355,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,859.81 : 637,310.32 = 257,922.06 : x
  2. Step 2: Convert to fraction form
    461,859.81/637,310.32 = 257,922.06/x
  3. Step 3: Cross multiply
    461,859.81x = 637,310.32 × 257,922.06
  4. Step 4: Simplify right side
    461,859.81x = 164,376,390,593.66
  5. Step 5: Solve for x
    x = 164,376,390,593.66/461,859.81
  6. Step 6: Final answer
    x = 355,901.05

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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.