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Finding the Fourth Proportional to 458,833.98, 633,292.17 and 254,955

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Solution

The fourth proportional to 458,833.98, 633,292.17 and 254,955 is: 351,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,833.98 : 633,292.17 = 254,955 : x
  2. Step 2: Convert to fraction form
    458,833.98/633,292.17 = 254,955/x
  3. Step 3: Cross multiply
    458,833.98x = 633,292.17 × 254,955
  4. Step 4: Simplify right side
    458,833.98x = 161,461,005,202.35
  5. Step 5: Solve for x
    x = 161,461,005,202.35/458,833.98
  6. Step 6: Final answer
    x = 351,894.18

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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.