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Finding the Fourth Proportional to 601,386.92, 902,184.60 and 202,066.64

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Solution

The fourth proportional to 601,386.92, 902,184.60 and 202,066.64 is: 303,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,386.92 : 902,184.60 = 202,066.64 : x
  2. Step 2: Convert to fraction form
    601,386.92/902,184.60 = 202,066.64/x
  3. Step 3: Cross multiply
    601,386.92x = 902,184.60 × 202,066.64
  4. Step 4: Simplify right side
    601,386.92x = 182,301,410,781.74
  5. Step 5: Solve for x
    x = 182,301,410,781.74/601,386.92
  6. Step 6: Final answer
    x = 303,134.98

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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.