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Finding the Fourth Proportional to 601,209.12, 901,857.42 and 201,846.51

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Solution

The fourth proportional to 601,209.12, 901,857.42 and 201,846.51 is: 302,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,209.12 : 901,857.42 = 201,846.51 : x
  2. Step 2: Convert to fraction form
    601,209.12/901,857.42 = 201,846.51/x
  3. Step 3: Cross multiply
    601,209.12x = 901,857.42 × 201,846.51
  4. Step 4: Simplify right side
    601,209.12x = 182,036,772,744.60
  5. Step 5: Solve for x
    x = 182,036,772,744.60/601,209.12
  6. Step 6: Final answer
    x = 302,784.45

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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.