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Finding the Fourth Proportional to 437,835.21, 656,752.83 and 201,376.77

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Solution

The fourth proportional to 437,835.21, 656,752.83 and 201,376.77 is: 302,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,835.21 : 656,752.83 = 201,376.77 : x
  2. Step 2: Convert to fraction form
    437,835.21/656,752.83 = 201,376.77/x
  3. Step 3: Cross multiply
    437,835.21x = 656,752.83 × 201,376.77
  4. Step 4: Simplify right side
    437,835.21x = 132,254,763,593.76
  5. Step 5: Solve for x
    x = 132,254,763,593.76/437,835.21
  6. Step 6: Final answer
    x = 302,065.16

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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.