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Finding the Fourth Proportional to 341,113.64, 470,678.09 and 218,713.06

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Solution

The fourth proportional to 341,113.64, 470,678.09 and 218,713.06 is: 301,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,113.64 : 470,678.09 = 218,713.06 : x
  2. Step 2: Convert to fraction form
    341,113.64/470,678.09 = 218,713.06/x
  3. Step 3: Cross multiply
    341,113.64x = 470,678.09 × 218,713.06
  4. Step 4: Simplify right side
    341,113.64x = 102,943,445,338.86
  5. Step 5: Solve for x
    x = 102,943,445,338.86/341,113.64
  6. Step 6: Final answer
    x = 301,786.36

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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.