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Finding the Fourth Proportional to 341,009, 470,397.08 and 213,463.16

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Solution

The fourth proportional to 341,009, 470,397.08 and 213,463.16 is: 294,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,009 : 470,397.08 = 213,463.16 : x
  2. Step 2: Convert to fraction form
    341,009/470,397.08 = 213,463.16/x
  3. Step 3: Cross multiply
    341,009x = 470,397.08 × 213,463.16
  4. Step 4: Simplify right side
    341,009x = 100,412,447,685.23
  5. Step 5: Solve for x
    x = 100,412,447,685.23/341,009
  6. Step 6: Final answer
    x = 294,456.88

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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.