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Finding the Fourth Proportional to 462,998.80, 697,968.46 and 432,136.48

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Solution

The fourth proportional to 462,998.80, 697,968.46 and 432,136.48 is: 651,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,998.80 : 697,968.46 = 432,136.48 : x
  2. Step 2: Convert to fraction form
    462,998.80/697,968.46 = 432,136.48/x
  3. Step 3: Cross multiply
    462,998.80x = 697,968.46 × 432,136.48
  4. Step 4: Simplify right side
    462,998.80x = 301,617,633,455.42
  5. Step 5: Solve for x
    x = 301,617,633,455.42/462,998.80
  6. Step 6: Final answer
    x = 651,443.66

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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.