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Finding the Fourth Proportional to 462,802.11, 638,478.50 and 301,598.43

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Solution

The fourth proportional to 462,802.11, 638,478.50 and 301,598.43 is: 416,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,802.11 : 638,478.50 = 301,598.43 : x
  2. Step 2: Convert to fraction form
    462,802.11/638,478.50 = 301,598.43/x
  3. Step 3: Cross multiply
    462,802.11x = 638,478.50 × 301,598.43
  4. Step 4: Simplify right side
    462,802.11x = 192,564,111,680.76
  5. Step 5: Solve for x
    x = 192,564,111,680.76/462,802.11
  6. Step 6: Final answer
    x = 416,083.05

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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.