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Finding the Fourth Proportional to 516,362.32, 712,358.96 and 322,433.36

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Solution

The fourth proportional to 516,362.32, 712,358.96 and 322,433.36 is: 444,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,362.32 : 712,358.96 = 322,433.36 : x
  2. Step 2: Convert to fraction form
    516,362.32/712,358.96 = 322,433.36/x
  3. Step 3: Cross multiply
    516,362.32x = 712,358.96 × 322,433.36
  4. Step 4: Simplify right side
    516,362.32x = 229,688,290,243.19
  5. Step 5: Solve for x
    x = 229,688,290,243.19/516,362.32
  6. Step 6: Final answer
    x = 444,820.01

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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.