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Finding the Fourth Proportional to 257,059.91, 384,925.67 and 177,343.76

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Solution

The fourth proportional to 257,059.91, 384,925.67 and 177,343.76 is: 265,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,059.91 : 384,925.67 = 177,343.76 : x
  2. Step 2: Convert to fraction form
    257,059.91/384,925.67 = 177,343.76/x
  3. Step 3: Cross multiply
    257,059.91x = 384,925.67 × 177,343.76
  4. Step 4: Simplify right side
    257,059.91x = 68,264,164,751.60
  5. Step 5: Solve for x
    x = 68,264,164,751.60/257,059.91
  6. Step 6: Final answer
    x = 265,557.41

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1.5x scale

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.