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Finding the Fourth Proportional to 433,321.10, 598,133.42 and 297,803.64

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Solution

The fourth proportional to 433,321.10, 598,133.42 and 297,803.64 is: 411,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,321.10 : 598,133.42 = 297,803.64 : x
  2. Step 2: Convert to fraction form
    433,321.10/598,133.42 = 297,803.64/x
  3. Step 3: Cross multiply
    433,321.10x = 598,133.42 × 297,803.64
  4. Step 4: Simplify right side
    433,321.10x = 178,126,308,192.63
  5. Step 5: Solve for x
    x = 178,126,308,192.63/433,321.10
  6. Step 6: Final answer
    x = 411,072.32

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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.