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Finding the Fourth Proportional to 508,971.04, 763,451.70 and 309,346.54

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Solution

The fourth proportional to 508,971.04, 763,451.70 and 309,346.54 is: 464,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,971.04 : 763,451.70 = 309,346.54 : x
  2. Step 2: Convert to fraction form
    508,971.04/763,451.70 = 309,346.54/x
  3. Step 3: Cross multiply
    508,971.04x = 763,451.70 × 309,346.54
  4. Step 4: Simplify right side
    508,971.04x = 236,171,141,852.12
  5. Step 5: Solve for x
    x = 236,171,141,852.12/508,971.04
  6. Step 6: Final answer
    x = 464,016.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.