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Finding the Fourth Proportional to 614,971.89, 922,062.68 and 255,390.78

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Solution

The fourth proportional to 614,971.89, 922,062.68 and 255,390.78 is: 382,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,971.89 : 922,062.68 = 255,390.78 : x
  2. Step 2: Convert to fraction form
    614,971.89/922,062.68 = 255,390.78/x
  3. Step 3: Cross multiply
    614,971.89x = 922,062.68 × 255,390.78
  4. Step 4: Simplify right side
    614,971.89x = 235,486,307,054.09
  5. Step 5: Solve for x
    x = 235,486,307,054.09/614,971.89
  6. Step 6: Final answer
    x = 382,922.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.