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Finding the Fourth Proportional to 462,142.42, 637,744.80 and 258,194.88

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Solution

The fourth proportional to 462,142.42, 637,744.80 and 258,194.88 is: 356,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,142.42 : 637,744.80 = 258,194.88 : x
  2. Step 2: Convert to fraction form
    462,142.42/637,744.80 = 258,194.88/x
  3. Step 3: Cross multiply
    462,142.42x = 637,744.80 × 258,194.88
  4. Step 4: Simplify right side
    462,142.42x = 164,662,437,626.93
  5. Step 5: Solve for x
    x = 164,662,437,626.93/462,142.42
  6. Step 6: Final answer
    x = 356,302.36

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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.