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Finding the Fourth Proportional to 719,507.76, 993,318.36 and 433,098.48

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Solution

The fourth proportional to 719,507.76, 993,318.36 and 433,098.48 is: 597,915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,507.76 : 993,318.36 = 433,098.48 : x
  2. Step 2: Convert to fraction form
    719,507.76/993,318.36 = 433,098.48/x
  3. Step 3: Cross multiply
    719,507.76x = 993,318.36 × 433,098.48
  4. Step 4: Simplify right side
    719,507.76x = 430,204,671,872.09
  5. Step 5: Solve for x
    x = 430,204,671,872.09/719,507.76
  6. Step 6: Final answer
    x = 597,915.26

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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.