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Finding the Fourth Proportional to 615,735.38, 849,706.00 and 343,807.54

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Solution

The fourth proportional to 615,735.38, 849,706.00 and 343,807.54 is: 474,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,735.38 : 849,706.00 = 343,807.54 : x
  2. Step 2: Convert to fraction form
    615,735.38/849,706.00 = 343,807.54/x
  3. Step 3: Cross multiply
    615,735.38x = 849,706.00 × 343,807.54
  4. Step 4: Simplify right side
    615,735.38x = 292,135,326,599.46
  5. Step 5: Solve for x
    x = 292,135,326,599.46/615,735.38
  6. Step 6: Final answer
    x = 474,449.47

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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.