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Finding the Fourth Proportional to 470,348.67, 649,095.22 and 255,503.26

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Solution

The fourth proportional to 470,348.67, 649,095.22 and 255,503.26 is: 352,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,348.67 : 649,095.22 = 255,503.26 : x
  2. Step 2: Convert to fraction form
    470,348.67/649,095.22 = 255,503.26/x
  3. Step 3: Cross multiply
    470,348.67x = 649,095.22 × 255,503.26
  4. Step 4: Simplify right side
    470,348.67x = 165,845,945,891.17
  5. Step 5: Solve for x
    x = 165,845,945,891.17/470,348.67
  6. Step 6: Final answer
    x = 352,602.13

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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.