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Finding the Fourth Proportional to 462,979.25, 697,938.99 and 432,116.92

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Solution

The fourth proportional to 462,979.25, 697,938.99 and 432,116.92 is: 651,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,979.25 : 697,938.99 = 432,116.92 : x
  2. Step 2: Convert to fraction form
    462,979.25/697,938.99 = 432,116.92/x
  3. Step 3: Cross multiply
    462,979.25x = 697,938.99 × 432,116.92
  4. Step 4: Simplify right side
    462,979.25x = 301,591,242,136.72
  5. Step 5: Solve for x
    x = 301,591,242,136.72/462,979.25
  6. Step 6: Final answer
    x = 651,414.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.