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Finding the Fourth Proportional to 462,802.70, 638,479.31 and 301,599.02

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Solution

The fourth proportional to 462,802.70, 638,479.31 and 301,599.02 is: 416,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,802.70 : 638,479.31 = 301,599.02 : x
  2. Step 2: Convert to fraction form
    462,802.70/638,479.31 = 301,599.02/x
  3. Step 3: Cross multiply
    462,802.70x = 638,479.31 × 301,599.02
  4. Step 4: Simplify right side
    462,802.70x = 192,564,734,186.28
  5. Step 5: Solve for x
    x = 192,564,734,186.28/462,802.70
  6. Step 6: Final answer
    x = 416,083.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.