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Finding the Fourth Proportional to 601,604.14, 830,213.73 and 333,332.14

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Solution

The fourth proportional to 601,604.14, 830,213.73 and 333,332.14 is: 459,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,604.14 : 830,213.73 = 333,332.14 : x
  2. Step 2: Convert to fraction form
    601,604.14/830,213.73 = 333,332.14/x
  3. Step 3: Cross multiply
    601,604.14x = 830,213.73 × 333,332.14
  4. Step 4: Simplify right side
    601,604.14x = 276,736,919,278.28
  5. Step 5: Solve for x
    x = 276,736,919,278.28/601,604.14
  6. Step 6: Final answer
    x = 459,998.36

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1.5x scale

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.