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Finding the Fourth Proportional to 600,994.80, 829,347.15 and 329,057.76

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Solution

The fourth proportional to 600,994.80, 829,347.15 and 329,057.76 is: 454,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,994.80 : 829,347.15 = 329,057.76 : x
  2. Step 2: Convert to fraction form
    600,994.80/829,347.15 = 329,057.76/x
  3. Step 3: Cross multiply
    600,994.80x = 829,347.15 × 329,057.76
  4. Step 4: Simplify right side
    600,994.80x = 272,903,115,441.38
  5. Step 5: Solve for x
    x = 272,903,115,441.38/600,994.80
  6. Step 6: Final answer
    x = 454,085.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.