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Finding the Fourth Proportional to 519,176.16, 716,327.28 and 304,200.96

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Solution

The fourth proportional to 519,176.16, 716,327.28 and 304,200.96 is: 419,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,176.16 : 716,327.28 = 304,200.96 : x
  2. Step 2: Convert to fraction form
    519,176.16/716,327.28 = 304,200.96/x
  3. Step 3: Cross multiply
    519,176.16x = 716,327.28 × 304,200.96
  4. Step 4: Simplify right side
    519,176.16x = 217,907,446,250.19
  5. Step 5: Solve for x
    x = 217,907,446,250.19/519,176.16
  6. Step 6: Final answer
    x = 419,717.74

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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.