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Finding the Fourth Proportional to 601,588.42, 830,191.98 and 333,316.42

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Solution

The fourth proportional to 601,588.42, 830,191.98 and 333,316.42 is: 459,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,588.42 : 830,191.98 = 333,316.42 : x
  2. Step 2: Convert to fraction form
    601,588.42/830,191.98 = 333,316.42/x
  3. Step 3: Cross multiply
    601,588.42x = 830,191.98 × 333,316.42
  4. Step 4: Simplify right side
    601,588.42x = 276,716,618,686.31
  5. Step 5: Solve for x
    x = 276,716,618,686.31/601,588.42
  6. Step 6: Final answer
    x = 459,976.64

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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.