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Finding the Fourth Proportional to 338,476.96, 507,715.44 and 172,381.60

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Solution

The fourth proportional to 338,476.96, 507,715.44 and 172,381.60 is: 258,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,476.96 : 507,715.44 = 172,381.60 : x
  2. Step 2: Convert to fraction form
    338,476.96/507,715.44 = 172,381.60/x
  3. Step 3: Cross multiply
    338,476.96x = 507,715.44 × 172,381.60
  4. Step 4: Simplify right side
    338,476.96x = 87,520,799,891.90
  5. Step 5: Solve for x
    x = 87,520,799,891.90/338,476.96
  6. Step 6: Final answer
    x = 258,572.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.