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Finding the Fourth Proportional to 458,830.63, 633,168.68 and 254,894.38

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Solution

The fourth proportional to 458,830.63, 633,168.68 and 254,894.38 is: 351,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,830.63 : 633,168.68 = 254,894.38 : x
  2. Step 2: Convert to fraction form
    458,830.63/633,168.68 = 254,894.38/x
  3. Step 3: Cross multiply
    458,830.63x = 633,168.68 × 254,894.38
  4. Step 4: Simplify right side
    458,830.63x = 161,391,136,700.41
  5. Step 5: Solve for x
    x = 161,391,136,700.41/458,830.63
  6. Step 6: Final answer
    x = 351,744.47

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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.