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Finding the Fourth Proportional to 493,585, 740,377.60 and 178,041.88

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Solution

The fourth proportional to 493,585, 740,377.60 and 178,041.88 is: 267,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,585 : 740,377.60 = 178,041.88 : x
  2. Step 2: Convert to fraction form
    493,585/740,377.60 = 178,041.88/x
  3. Step 3: Cross multiply
    493,585x = 740,377.60 × 178,041.88
  4. Step 4: Simplify right side
    493,585x = 131,818,219,813.89
  5. Step 5: Solve for x
    x = 131,818,219,813.89/493,585
  6. Step 6: Final answer
    x = 267,062.86

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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.