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Finding the Fourth Proportional to 291,630.66, 437,718.15 and 149,582.58

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Solution

The fourth proportional to 291,630.66, 437,718.15 and 149,582.58 is: 224,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,630.66 : 437,718.15 = 149,582.58 : x
  2. Step 2: Convert to fraction form
    291,630.66/437,718.15 = 149,582.58/x
  3. Step 3: Cross multiply
    291,630.66x = 437,718.15 × 149,582.58
  4. Step 4: Simplify right side
    291,630.66x = 65,475,010,189.83
  5. Step 5: Solve for x
    x = 65,475,010,189.83/291,630.66
  6. Step 6: Final answer
    x = 224,513.47

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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.