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Finding the Fourth Proportional to 462,325.66, 638,029.12 and 258,376.58

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Solution

The fourth proportional to 462,325.66, 638,029.12 and 258,376.58 is: 356,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,325.66 : 638,029.12 = 258,376.58 : x
  2. Step 2: Convert to fraction form
    462,325.66/638,029.12 = 258,376.58/x
  3. Step 3: Cross multiply
    462,325.66x = 638,029.12 × 258,376.58
  4. Step 4: Simplify right side
    462,325.66x = 164,851,780,685.24
  5. Step 5: Solve for x
    x = 164,851,780,685.24/462,325.66
  6. Step 6: Final answer
    x = 356,570.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.