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Finding the Fourth Proportional to 614,037.84, 921,180.96 and 259,052.64

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Solution

The fourth proportional to 614,037.84, 921,180.96 and 259,052.64 is: 388,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,037.84 : 921,180.96 = 259,052.64 : x
  2. Step 2: Convert to fraction form
    614,037.84/921,180.96 = 259,052.64/x
  3. Step 3: Cross multiply
    614,037.84x = 921,180.96 × 259,052.64
  4. Step 4: Simplify right side
    614,037.84x = 238,634,359,605.73
  5. Step 5: Solve for x
    x = 238,634,359,605.73/614,037.84
  6. Step 6: Final answer
    x = 388,631.36

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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.