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Finding the Fourth Proportional to 585,323.73, 807,730.25 and 343,602.45

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Solution

The fourth proportional to 585,323.73, 807,730.25 and 343,602.45 is: 474,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,323.73 : 807,730.25 = 343,602.45 : x
  2. Step 2: Convert to fraction form
    585,323.73/807,730.25 = 343,602.45/x
  3. Step 3: Cross multiply
    585,323.73x = 807,730.25 × 343,602.45
  4. Step 4: Simplify right side
    585,323.73x = 277,538,091,121.10
  5. Step 5: Solve for x
    x = 277,538,091,121.10/585,323.73
  6. Step 6: Final answer
    x = 474,161.69

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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.