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Finding the Fourth Proportional to 380,661, 525,329.39 and 210,895.13

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Solution

The fourth proportional to 380,661, 525,329.39 and 210,895.13 is: 291,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,661 : 525,329.39 = 210,895.13 : x
  2. Step 2: Convert to fraction form
    380,661/525,329.39 = 210,895.13/x
  3. Step 3: Cross multiply
    380,661x = 525,329.39 × 210,895.13
  4. Step 4: Simplify right side
    380,661x = 110,789,407,897.46
  5. Step 5: Solve for x
    x = 110,789,407,897.46/380,661
  6. Step 6: Final answer
    x = 291,044.81

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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.