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Finding the Fourth Proportional to 462,999.30, 697,969.21 and 432,136.98

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Solution

The fourth proportional to 462,999.30, 697,969.21 and 432,136.98 is: 651,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,999.30 : 697,969.21 = 432,136.98 : x
  2. Step 2: Convert to fraction form
    462,999.30/697,969.21 = 432,136.98/x
  3. Step 3: Cross multiply
    462,999.30x = 697,969.21 × 432,136.98
  4. Step 4: Simplify right side
    462,999.30x = 301,618,306,542.39
  5. Step 5: Solve for x
    x = 301,618,306,542.39/462,999.30
  6. Step 6: Final answer
    x = 651,444.41

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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.