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Finding the Fourth Proportional to 601,758.68, 830,433.53 and 329,820.62

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Solution

The fourth proportional to 601,758.68, 830,433.53 and 329,820.62 is: 455,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,758.68 : 830,433.53 = 329,820.62 : x
  2. Step 2: Convert to fraction form
    601,758.68/830,433.53 = 329,820.62/x
  3. Step 3: Cross multiply
    601,758.68x = 830,433.53 × 329,820.62
  4. Step 4: Simplify right side
    601,758.68x = 273,894,098,405.77
  5. Step 5: Solve for x
    x = 273,894,098,405.77/601,758.68
  6. Step 6: Final answer
    x = 455,156.04

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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.