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Finding the Fourth Proportional to 291,762.34, 437,643.46 and 92,222.83

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Solution

The fourth proportional to 291,762.34, 437,643.46 and 92,222.83 is: 138,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,762.34 : 437,643.46 = 92,222.83 : x
  2. Step 2: Convert to fraction form
    291,762.34/437,643.46 = 92,222.83/x
  3. Step 3: Cross multiply
    291,762.34x = 437,643.46 × 92,222.83
  4. Step 4: Simplify right side
    291,762.34x = 40,360,718,412.19
  5. Step 5: Solve for x
    x = 40,360,718,412.19/291,762.34
  6. Step 6: Final answer
    x = 138,334.23

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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.