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Finding the Fourth Proportional to 601,696.83, 830,352.30 and 329,746.62

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Solution

The fourth proportional to 601,696.83, 830,352.30 and 329,746.62 is: 455,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,696.83 : 830,352.30 = 329,746.62 : x
  2. Step 2: Convert to fraction form
    601,696.83/830,352.30 = 329,746.62/x
  3. Step 3: Cross multiply
    601,696.83x = 830,352.30 × 329,746.62
  4. Step 4: Simplify right side
    601,696.83x = 273,805,864,334.23
  5. Step 5: Solve for x
    x = 273,805,864,334.23/601,696.83
  6. Step 6: Final answer
    x = 455,056.19

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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.