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Finding the Fourth Proportional to 311,897.35, 430,420.91 and 172,200.45

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Solution

The fourth proportional to 311,897.35, 430,420.91 and 172,200.45 is: 237,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,897.35 : 430,420.91 = 172,200.45 : x
  2. Step 2: Convert to fraction form
    311,897.35/430,420.91 = 172,200.45/x
  3. Step 3: Cross multiply
    311,897.35x = 430,420.91 × 172,200.45
  4. Step 4: Simplify right side
    311,897.35x = 74,118,674,391.41
  5. Step 5: Solve for x
    x = 74,118,674,391.41/311,897.35
  6. Step 6: Final answer
    x = 237,638.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.