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Finding the Fourth Proportional to 493,856.10, 740,784.15 and 334,423.80

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Solution

The fourth proportional to 493,856.10, 740,784.15 and 334,423.80 is: 501,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,856.10 : 740,784.15 = 334,423.80 : x
  2. Step 2: Convert to fraction form
    493,856.10/740,784.15 = 334,423.80/x
  3. Step 3: Cross multiply
    493,856.10x = 740,784.15 × 334,423.80
  4. Step 4: Simplify right side
    493,856.10x = 247,735,850,422.77
  5. Step 5: Solve for x
    x = 247,735,850,422.77/493,856.10
  6. Step 6: Final answer
    x = 501,635.70

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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.