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Finding the Fourth Proportional to 318,114.16, 438,994 and 172,916.80

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Solution

The fourth proportional to 318,114.16, 438,994 and 172,916.80 is: 238,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,114.16 : 438,994 = 172,916.80 : x
  2. Step 2: Convert to fraction form
    318,114.16/438,994 = 172,916.80/x
  3. Step 3: Cross multiply
    318,114.16x = 438,994 × 172,916.80
  4. Step 4: Simplify right side
    318,114.16x = 75,909,437,699.20
  5. Step 5: Solve for x
    x = 75,909,437,699.20/318,114.16
  6. Step 6: Final answer
    x = 238,623.26

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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.