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Finding the Fourth Proportional to 462,143.17, 637,745.83 and 258,195.63

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Solution

The fourth proportional to 462,143.17, 637,745.83 and 258,195.63 is: 356,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,143.17 : 637,745.83 = 258,195.63 : x
  2. Step 2: Convert to fraction form
    462,143.17/637,745.83 = 258,195.63/x
  3. Step 3: Cross multiply
    462,143.17x = 637,745.83 × 258,195.63
  4. Step 4: Simplify right side
    462,143.17x = 164,663,186,356.72
  5. Step 5: Solve for x
    x = 164,663,186,356.72/462,143.17
  6. Step 6: Final answer
    x = 356,303.41

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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.