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Finding the Fourth Proportional to 462,707.02, 693,802.68 and 142,768.09

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Solution

The fourth proportional to 462,707.02, 693,802.68 and 142,768.09 is: 214,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,707.02 : 693,802.68 = 142,768.09 : x
  2. Step 2: Convert to fraction form
    462,707.02/693,802.68 = 142,768.09/x
  3. Step 3: Cross multiply
    462,707.02x = 693,802.68 × 142,768.09
  4. Step 4: Simplify right side
    462,707.02x = 99,052,883,460.48
  5. Step 5: Solve for x
    x = 99,052,883,460.48/462,707.02
  6. Step 6: Final answer
    x = 214,072.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.