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Finding the Fourth Proportional to 318,071.12, 438,938.28 and 174,830

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Solution

The fourth proportional to 318,071.12, 438,938.28 and 174,830 is: 241,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,071.12 : 438,938.28 = 174,830 : x
  2. Step 2: Convert to fraction form
    318,071.12/438,938.28 = 174,830/x
  3. Step 3: Cross multiply
    318,071.12x = 438,938.28 × 174,830
  4. Step 4: Simplify right side
    318,071.12x = 76,739,579,492.40
  5. Step 5: Solve for x
    x = 76,739,579,492.40/318,071.12
  6. Step 6: Final answer
    x = 241,265.47

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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.