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Finding the Fourth Proportional to 264,824.61, 365,471.30 and 162,855.74

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Solution

The fourth proportional to 264,824.61, 365,471.30 and 162,855.74 is: 224,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,824.61 : 365,471.30 = 162,855.74 : x
  2. Step 2: Convert to fraction form
    264,824.61/365,471.30 = 162,855.74/x
  3. Step 3: Cross multiply
    264,824.61x = 365,471.30 × 162,855.74
  4. Step 4: Simplify right side
    264,824.61x = 59,519,097,590.04
  5. Step 5: Solve for x
    x = 59,519,097,590.04/264,824.61
  6. Step 6: Final answer
    x = 224,749.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.