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Finding the Fourth Proportional to 493,237.60, 739,856.40 and 343,938.40

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Solution

The fourth proportional to 493,237.60, 739,856.40 and 343,938.40 is: 515,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,237.60 : 739,856.40 = 343,938.40 : x
  2. Step 2: Convert to fraction form
    493,237.60/739,856.40 = 343,938.40/x
  3. Step 3: Cross multiply
    493,237.60x = 739,856.40 × 343,938.40
  4. Step 4: Simplify right side
    493,237.60x = 254,465,026,445.76
  5. Step 5: Solve for x
    x = 254,465,026,445.76/493,237.60
  6. Step 6: Final answer
    x = 515,907.60

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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.