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Finding the Fourth Proportional to 467,857.90, 702,114.90 and 201,809.35

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Solution

The fourth proportional to 467,857.90, 702,114.90 and 201,809.35 is: 302,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,857.90 : 702,114.90 = 201,809.35 : x
  2. Step 2: Convert to fraction form
    467,857.90/702,114.90 = 201,809.35/x
  3. Step 3: Cross multiply
    467,857.90x = 702,114.90 × 201,809.35
  4. Step 4: Simplify right side
    467,857.90x = 141,693,351,594.32
  5. Step 5: Solve for x
    x = 141,693,351,594.32/467,857.90
  6. Step 6: Final answer
    x = 302,855.53

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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.