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Finding the Fourth Proportional to 490,625.60, 735,938.40 and 384,337.40

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Solution

The fourth proportional to 490,625.60, 735,938.40 and 384,337.40 is: 576,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,625.60 : 735,938.40 = 384,337.40 : x
  2. Step 2: Convert to fraction form
    490,625.60/735,938.40 = 384,337.40/x
  3. Step 3: Cross multiply
    490,625.60x = 735,938.40 × 384,337.40
  4. Step 4: Simplify right side
    490,625.60x = 282,848,651,216.16
  5. Step 5: Solve for x
    x = 282,848,651,216.16/490,625.60
  6. Step 6: Final answer
    x = 576,506.10

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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.