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Finding the Fourth Proportional to 380,544, 525,150.72 and 210,789.06

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Solution

The fourth proportional to 380,544, 525,150.72 and 210,789.06 is: 290,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,544 : 525,150.72 = 210,789.06 : x
  2. Step 2: Convert to fraction form
    380,544/525,150.72 = 210,789.06/x
  3. Step 3: Cross multiply
    380,544x = 525,150.72 × 210,789.06
  4. Step 4: Simplify right side
    380,544x = 110,696,026,627.12
  5. Step 5: Solve for x
    x = 110,696,026,627.12/380,544
  6. Step 6: Final answer
    x = 290,888.90

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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.