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Finding the Fourth Proportional to 601,455.37, 830,008.38 and 329,533.58

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Solution

The fourth proportional to 601,455.37, 830,008.38 and 329,533.58 is: 454,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,455.37 : 830,008.38 = 329,533.58 : x
  2. Step 2: Convert to fraction form
    601,455.37/830,008.38 = 329,533.58/x
  3. Step 3: Cross multiply
    601,455.37x = 830,008.38 × 329,533.58
  4. Step 4: Simplify right side
    601,455.37x = 273,515,628,741.36
  5. Step 5: Solve for x
    x = 273,515,628,741.36/601,455.37
  6. Step 6: Final answer
    x = 454,756.32

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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.