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Finding the Fourth Proportional to 602,192.66, 830,788.80 and 347,494.64

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Solution

The fourth proportional to 602,192.66, 830,788.80 and 347,494.64 is: 479,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,192.66 : 830,788.80 = 347,494.64 : x
  2. Step 2: Convert to fraction form
    602,192.66/830,788.80 = 347,494.64/x
  3. Step 3: Cross multiply
    602,192.66x = 830,788.80 × 347,494.64
  4. Step 4: Simplify right side
    602,192.66x = 288,694,654,972.03
  5. Step 5: Solve for x
    x = 288,694,654,972.03/602,192.66
  6. Step 6: Final answer
    x = 479,405.80

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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.