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Finding the Fourth Proportional to 380,419.54, 524,972.55 and 210,650.02

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Solution

The fourth proportional to 380,419.54, 524,972.55 and 210,650.02 is: 290,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,419.54 : 524,972.55 = 210,650.02 : x
  2. Step 2: Convert to fraction form
    380,419.54/524,972.55 = 210,650.02/x
  3. Step 3: Cross multiply
    380,419.54x = 524,972.55 × 210,650.02
  4. Step 4: Simplify right side
    380,419.54x = 110,585,478,156.95
  5. Step 5: Solve for x
    x = 110,585,478,156.95/380,419.54
  6. Step 6: Final answer
    x = 290,693.48

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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.