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Finding the Fourth Proportional to 601,610.14, 830,222.01 and 333,338.14

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Solution

The fourth proportional to 601,610.14, 830,222.01 and 333,338.14 is: 460,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,610.14 : 830,222.01 = 333,338.14 : x
  2. Step 2: Convert to fraction form
    601,610.14/830,222.01 = 333,338.14/x
  3. Step 3: Cross multiply
    601,610.14x = 830,222.01 × 333,338.14
  4. Step 4: Simplify right side
    601,610.14x = 276,744,660,600.46
  5. Step 5: Solve for x
    x = 276,744,660,600.46/601,610.14
  6. Step 6: Final answer
    x = 460,006.64

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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.