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Finding the Fourth Proportional to 490,033.95, 735,078.62 and 174,490.89

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Solution

The fourth proportional to 490,033.95, 735,078.62 and 174,490.89 is: 261,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,033.95 : 735,078.62 = 174,490.89 : x
  2. Step 2: Convert to fraction form
    490,033.95/735,078.62 = 174,490.89/x
  3. Step 3: Cross multiply
    490,033.95x = 735,078.62 × 174,490.89
  4. Step 4: Simplify right side
    490,033.95x = 128,264,522,623.77
  5. Step 5: Solve for x
    x = 128,264,522,623.77/490,033.95
  6. Step 6: Final answer
    x = 261,746.20

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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.