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Finding the Fourth Proportional to 493,898.10, 740,847.15 and 334,465.80

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Solution

The fourth proportional to 493,898.10, 740,847.15 and 334,465.80 is: 501,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,898.10 : 740,847.15 = 334,465.80 : x
  2. Step 2: Convert to fraction form
    493,898.10/740,847.15 = 334,465.80/x
  3. Step 3: Cross multiply
    493,898.10x = 740,847.15 × 334,465.80
  4. Step 4: Simplify right side
    493,898.10x = 247,788,034,702.47
  5. Step 5: Solve for x
    x = 247,788,034,702.47/493,898.10
  6. Step 6: Final answer
    x = 501,698.70

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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.