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Finding the Fourth Proportional to 490,588.94, 735,883.41 and 153,655.95

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Solution

The fourth proportional to 490,588.94, 735,883.41 and 153,655.95 is: 230,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,588.94 : 735,883.41 = 153,655.95 : x
  2. Step 2: Convert to fraction form
    490,588.94/735,883.41 = 153,655.95/x
  3. Step 3: Cross multiply
    490,588.94x = 735,883.41 × 153,655.95
  4. Step 4: Simplify right side
    490,588.94x = 113,072,864,452.79
  5. Step 5: Solve for x
    x = 113,072,864,452.79/490,588.94
  6. Step 6: Final answer
    x = 230,483.93

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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.