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Finding the Fourth Proportional to 407,341.24, 562,678.98 and 313,027

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Solution

The fourth proportional to 407,341.24, 562,678.98 and 313,027 is: 432,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,341.24 : 562,678.98 = 313,027 : x
  2. Step 2: Convert to fraction form
    407,341.24/562,678.98 = 313,027/x
  3. Step 3: Cross multiply
    407,341.24x = 562,678.98 × 313,027
  4. Step 4: Simplify right side
    407,341.24x = 176,133,713,072.46
  5. Step 5: Solve for x
    x = 176,133,713,072.46/407,341.24
  6. Step 6: Final answer
    x = 432,398.43

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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.