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Finding the Fourth Proportional to 462,426.36, 638,146.53 and 258,477.06

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Solution

The fourth proportional to 462,426.36, 638,146.53 and 258,477.06 is: 356,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,426.36 : 638,146.53 = 258,477.06 : x
  2. Step 2: Convert to fraction form
    462,426.36/638,146.53 = 258,477.06/x
  3. Step 3: Cross multiply
    462,426.36x = 638,146.53 × 258,477.06
  4. Step 4: Simplify right side
    462,426.36x = 164,946,238,923.60
  5. Step 5: Solve for x
    x = 164,946,238,923.60/462,426.36
  6. Step 6: Final answer
    x = 356,697.31

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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.