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Finding the Fourth Proportional to 380,094.34, 569,973.03 and 202,568.26

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Solution

The fourth proportional to 380,094.34, 569,973.03 and 202,568.26 is: 303,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,094.34 : 569,973.03 = 202,568.26 : x
  2. Step 2: Convert to fraction form
    380,094.34/569,973.03 = 202,568.26/x
  3. Step 3: Cross multiply
    380,094.34x = 569,973.03 × 202,568.26
  4. Step 4: Simplify right side
    380,094.34x = 115,458,444,934.03
  5. Step 5: Solve for x
    x = 115,458,444,934.03/380,094.34
  6. Step 6: Final answer
    x = 303,762.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.