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Finding the Fourth Proportional to 462,042, 637,617.96 and 260,838

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Solution

The fourth proportional to 462,042, 637,617.96 and 260,838 is: 359,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,042 : 637,617.96 = 260,838 : x
  2. Step 2: Convert to fraction form
    462,042/637,617.96 = 260,838/x
  3. Step 3: Cross multiply
    462,042x = 637,617.96 × 260,838
  4. Step 4: Simplify right side
    462,042x = 166,314,993,450.48
  5. Step 5: Solve for x
    x = 166,314,993,450.48/462,042
  6. Step 6: Final answer
    x = 359,956.44

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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.