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Finding the Fourth Proportional to 291,586.68, 437,417.10 and 114,070.95

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Solution

The fourth proportional to 291,586.68, 437,417.10 and 114,070.95 is: 171,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,586.68 : 437,417.10 = 114,070.95 : x
  2. Step 2: Convert to fraction form
    291,586.68/437,417.10 = 114,070.95/x
  3. Step 3: Cross multiply
    291,586.68x = 437,417.10 × 114,070.95
  4. Step 4: Simplify right side
    291,586.68x = 49,896,584,143.25
  5. Step 5: Solve for x
    x = 49,896,584,143.25/291,586.68
  6. Step 6: Final answer
    x = 171,120.93

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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.