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Finding the Fourth Proportional to 291,701.60, 437,552.40 and 197,223.20

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Solution

The fourth proportional to 291,701.60, 437,552.40 and 197,223.20 is: 295,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,701.60 : 437,552.40 = 197,223.20 : x
  2. Step 2: Convert to fraction form
    291,701.60/437,552.40 = 197,223.20/x
  3. Step 3: Cross multiply
    291,701.60x = 437,552.40 × 197,223.20
  4. Step 4: Simplify right side
    291,701.60x = 86,295,484,495.68
  5. Step 5: Solve for x
    x = 86,295,484,495.68/291,701.60
  6. Step 6: Final answer
    x = 295,834.80

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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.