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Finding the Fourth Proportional to 380,549.34, 525,115.71 and 210,740.94

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Solution

The fourth proportional to 380,549.34, 525,115.71 and 210,740.94 is: 290,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,549.34 : 525,115.71 = 210,740.94 : x
  2. Step 2: Convert to fraction form
    380,549.34/525,115.71 = 210,740.94/x
  3. Step 3: Cross multiply
    380,549.34x = 525,115.71 × 210,740.94
  4. Step 4: Simplify right side
    380,549.34x = 110,663,378,334.17
  5. Step 5: Solve for x
    x = 110,663,378,334.17/380,549.34
  6. Step 6: Final answer
    x = 290,799.03

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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.