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Finding the Fourth Proportional to 477,292.50, 658,646.79 and 262,431.06

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Solution

The fourth proportional to 477,292.50, 658,646.79 and 262,431.06 is: 362,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,292.50 : 658,646.79 = 262,431.06 : x
  2. Step 2: Convert to fraction form
    477,292.50/658,646.79 = 262,431.06/x
  3. Step 3: Cross multiply
    477,292.50x = 658,646.79 × 262,431.06
  4. Step 4: Simplify right side
    477,292.50x = 172,849,375,265.30
  5. Step 5: Solve for x
    x = 172,849,375,265.30/477,292.50
  6. Step 6: Final answer
    x = 362,145.59

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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.