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Finding the Fourth Proportional to 601,630.12, 830,250.54 and 329,654.80

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Solution

The fourth proportional to 601,630.12, 830,250.54 and 329,654.80 is: 454,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,630.12 : 830,250.54 = 329,654.80 : x
  2. Step 2: Convert to fraction form
    601,630.12/830,250.54 = 329,654.80/x
  3. Step 3: Cross multiply
    601,630.12x = 830,250.54 × 329,654.80
  4. Step 4: Simplify right side
    601,630.12x = 273,696,075,713.59
  5. Step 5: Solve for x
    x = 273,696,075,713.59/601,630.12
  6. Step 6: Final answer
    x = 454,924.16

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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.