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Finding the Fourth Proportional to 493,153.40, 739,298.10 and 334,868.60

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Solution

The fourth proportional to 493,153.40, 739,298.10 and 334,868.60 is: 502,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,153.40 : 739,298.10 = 334,868.60 : x
  2. Step 2: Convert to fraction form
    493,153.40/739,298.10 = 334,868.60/x
  3. Step 3: Cross multiply
    493,153.40x = 739,298.10 × 334,868.60
  4. Step 4: Simplify right side
    493,153.40x = 247,567,719,729.66
  5. Step 5: Solve for x
    x = 247,567,719,729.66/493,153.40
  6. Step 6: Final answer
    x = 502,009.56

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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.