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Finding the Fourth Proportional to 601,911.98, 830,633.23 and 329,974.93

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Solution

The fourth proportional to 601,911.98, 830,633.23 and 329,974.93 is: 455,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,911.98 : 830,633.23 = 329,974.93 : x
  2. Step 2: Convert to fraction form
    601,911.98/830,633.23 = 329,974.93/x
  3. Step 3: Cross multiply
    601,911.98x = 830,633.23 × 329,974.93
  4. Step 4: Simplify right side
    601,911.98x = 274,088,141,924.92
  5. Step 5: Solve for x
    x = 274,088,141,924.92/601,911.98
  6. Step 6: Final answer
    x = 455,362.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.