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Finding the Fourth Proportional to 677,599.51, 935,084.71 and 419,425

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Solution

The fourth proportional to 677,599.51, 935,084.71 and 419,425 is: 578,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,599.51 : 935,084.71 = 419,425 : x
  2. Step 2: Convert to fraction form
    677,599.51/935,084.71 = 419,425/x
  3. Step 3: Cross multiply
    677,599.51x = 935,084.71 × 419,425
  4. Step 4: Simplify right side
    677,599.51x = 392,197,904,491.75
  5. Step 5: Solve for x
    x = 392,197,904,491.75/677,599.51
  6. Step 6: Final answer
    x = 578,804.88

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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.