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Finding the Fourth Proportional to 493,342.60, 740,038.20 and 257,146.60

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Solution

The fourth proportional to 493,342.60, 740,038.20 and 257,146.60 is: 385,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,342.60 : 740,038.20 = 257,146.60 : x
  2. Step 2: Convert to fraction form
    493,342.60/740,038.20 = 257,146.60/x
  3. Step 3: Cross multiply
    493,342.60x = 740,038.20 × 257,146.60
  4. Step 4: Simplify right side
    493,342.60x = 190,298,307,000.12
  5. Step 5: Solve for x
    x = 190,298,307,000.12/493,342.60
  6. Step 6: Final answer
    x = 385,732.57

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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.