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Finding the Fourth Proportional to 462,828.93, 694,294.42 and 147,212.02

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Solution

The fourth proportional to 462,828.93, 694,294.42 and 147,212.02 is: 220,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,828.93 : 694,294.42 = 147,212.02 : x
  2. Step 2: Convert to fraction form
    462,828.93/694,294.42 = 147,212.02/x
  3. Step 3: Cross multiply
    462,828.93x = 694,294.42 × 147,212.02
  4. Step 4: Simplify right side
    462,828.93x = 102,208,484,042.93
  5. Step 5: Solve for x
    x = 102,208,484,042.93/462,828.93
  6. Step 6: Final answer
    x = 220,834.26

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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.