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Finding the Fourth Proportional to 329,646.95, 494,553.33 and 152,279.45

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Solution

The fourth proportional to 329,646.95, 494,553.33 and 152,279.45 is: 228,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,646.95 : 494,553.33 = 152,279.45 : x
  2. Step 2: Convert to fraction form
    329,646.95/494,553.33 = 152,279.45/x
  3. Step 3: Cross multiply
    329,646.95x = 494,553.33 × 152,279.45
  4. Step 4: Simplify right side
    329,646.95x = 75,310,309,088.07
  5. Step 5: Solve for x
    x = 75,310,309,088.07/329,646.95
  6. Step 6: Final answer
    x = 228,457.47

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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.