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Finding the Fourth Proportional to 490,411.60, 735,617.40 and 194,923.60

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Solution

The fourth proportional to 490,411.60, 735,617.40 and 194,923.60 is: 292,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,411.60 : 735,617.40 = 194,923.60 : x
  2. Step 2: Convert to fraction form
    490,411.60/735,617.40 = 194,923.60/x
  3. Step 3: Cross multiply
    490,411.60x = 735,617.40 × 194,923.60
  4. Step 4: Simplify right side
    490,411.60x = 143,389,191,830.64
  5. Step 5: Solve for x
    x = 143,389,191,830.64/490,411.60
  6. Step 6: Final answer
    x = 292,385.40

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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.