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Finding the Fourth Proportional to 319,261, 478,893.90 and 141,720.28

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Solution

The fourth proportional to 319,261, 478,893.90 and 141,720.28 is: 212,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,261 : 478,893.90 = 141,720.28 : x
  2. Step 2: Convert to fraction form
    319,261/478,893.90 = 141,720.28/x
  3. Step 3: Cross multiply
    319,261x = 478,893.90 × 141,720.28
  4. Step 4: Simplify right side
    319,261x = 67,868,977,598.29
  5. Step 5: Solve for x
    x = 67,868,977,598.29/319,261
  6. Step 6: Final answer
    x = 212,581.49

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