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Finding the Fourth Proportional to 329,703.22, 494,637.99 and 152,335.63

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Solution

The fourth proportional to 329,703.22, 494,637.99 and 152,335.63 is: 228,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,703.22 : 494,637.99 = 152,335.63 : x
  2. Step 2: Convert to fraction form
    329,703.22/494,637.99 = 152,335.63/x
  3. Step 3: Cross multiply
    329,703.22x = 494,637.99 × 152,335.63
  4. Step 4: Simplify right side
    329,703.22x = 75,350,989,828.58
  5. Step 5: Solve for x
    x = 75,350,989,828.58/329,703.22
  6. Step 6: Final answer
    x = 228,541.87

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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.