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Finding the Fourth Proportional to 380,743.92, 525,429.72 and 210,980.88

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Solution

The fourth proportional to 380,743.92, 525,429.72 and 210,980.88 is: 291,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,743.92 : 525,429.72 = 210,980.88 : x
  2. Step 2: Convert to fraction form
    380,743.92/525,429.72 = 210,980.88/x
  3. Step 3: Cross multiply
    380,743.92x = 525,429.72 × 210,980.88
  4. Step 4: Simplify right side
    380,743.92x = 110,855,624,703.75
  5. Step 5: Solve for x
    x = 110,855,624,703.75/380,743.92
  6. Step 6: Final answer
    x = 291,155.34

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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.