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Finding the Fourth Proportional to 380,515.75, 525,105.30 and 210,746.23

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Solution

The fourth proportional to 380,515.75, 525,105.30 and 210,746.23 is: 290,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,515.75 : 525,105.30 = 210,746.23 : x
  2. Step 2: Convert to fraction form
    380,515.75/525,105.30 = 210,746.23/x
  3. Step 3: Cross multiply
    380,515.75x = 525,105.30 × 210,746.23
  4. Step 4: Simplify right side
    380,515.75x = 110,663,962,328.02
  5. Step 5: Solve for x
    x = 110,663,962,328.02/380,515.75
  6. Step 6: Final answer
    x = 290,826.23

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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.