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Finding the Fourth Proportional to 442,313.98, 662,429.40 and 292,181.90

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Solution

The fourth proportional to 442,313.98, 662,429.40 and 292,181.90 is: 437,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,313.98 : 662,429.40 = 292,181.90 : x
  2. Step 2: Convert to fraction form
    442,313.98/662,429.40 = 292,181.90/x
  3. Step 3: Cross multiply
    442,313.98x = 662,429.40 × 292,181.90
  4. Step 4: Simplify right side
    442,313.98x = 193,549,880,707.86
  5. Step 5: Solve for x
    x = 193,549,880,707.86/442,313.98
  6. Step 6: Final answer
    x = 437,584.81

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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.