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Finding the Fourth Proportional to 601,462.83, 830,018.68 and 329,541.04

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Solution

The fourth proportional to 601,462.83, 830,018.68 and 329,541.04 is: 454,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,462.83 : 830,018.68 = 329,541.04 : x
  2. Step 2: Convert to fraction form
    601,462.83/830,018.68 = 329,541.04/x
  3. Step 3: Cross multiply
    601,462.83x = 830,018.68 × 329,541.04
  4. Step 4: Simplify right side
    601,462.83x = 273,525,219,026.63
  5. Step 5: Solve for x
    x = 273,525,219,026.63/601,462.83
  6. Step 6: Final answer
    x = 454,766.62

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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.