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Finding the Fourth Proportional to 442,224.60, 662,948.10 and 264,802.20

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Solution

The fourth proportional to 442,224.60, 662,948.10 and 264,802.20 is: 396,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,224.60 : 662,948.10 = 264,802.20 : x
  2. Step 2: Convert to fraction form
    442,224.60/662,948.10 = 264,802.20/x
  3. Step 3: Cross multiply
    442,224.60x = 662,948.10 × 264,802.20
  4. Step 4: Simplify right side
    442,224.60x = 175,550,115,365.82
  5. Step 5: Solve for x
    x = 175,550,115,365.82/442,224.60
  6. Step 6: Final answer
    x = 396,970.49

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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.