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Finding the Fourth Proportional to 291,586.18, 437,416.32 and 114,070.42

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Solution

The fourth proportional to 291,586.18, 437,416.32 and 114,070.42 is: 171,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,586.18 : 437,416.32 = 114,070.42 : x
  2. Step 2: Convert to fraction form
    291,586.18/437,416.32 = 114,070.42/x
  3. Step 3: Cross multiply
    291,586.18x = 437,416.32 × 114,070.42
  4. Step 4: Simplify right side
    291,586.18x = 49,896,263,337.25
  5. Step 5: Solve for x
    x = 49,896,263,337.25/291,586.18
  6. Step 6: Final answer
    x = 171,120.12

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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.