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Finding the Fourth Proportional to 329,700.22, 494,633.49 and 152,332.63

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Solution

The fourth proportional to 329,700.22, 494,633.49 and 152,332.63 is: 228,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,700.22 : 494,633.49 = 152,332.63 : x
  2. Step 2: Convert to fraction form
    329,700.22/494,633.49 = 152,332.63/x
  3. Step 3: Cross multiply
    329,700.22x = 494,633.49 × 152,332.63
  4. Step 4: Simplify right side
    329,700.22x = 75,348,820,417.78
  5. Step 5: Solve for x
    x = 75,348,820,417.78/329,700.22
  6. Step 6: Final answer
    x = 228,537.37

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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.